二十四點游戲答案表

使用說明：,,,,,

"1、針對二十四點游戲（或叫“速算24游戲”）的撲克牌玩法，取四個正整數(shù)，范圍介于1~13之間，計算所有組合通過加、減、乘、除和括號運算得到24的方案數(shù)。

2、這樣的組合共有1820個，其中458個組合無解，396個組合只有唯一解（已剔除重復），讀者可利用下表篩選鑒別；

3、從去除大小王后的52張撲克牌中抽出四個數(shù)后，先從小到大排序，然后查下表，可得答案。例如：(8,5,12,3)的組合，查(3,5,8,12)；

4、“運算組合數(shù)”為四個數(shù)運算出的所有可能結果的數(shù)量，剔除了除數(shù)為0的情況，最大為3888；“方案數(shù)”為運算結果=24的數(shù)量，“去重后”為剔除了本質上相同的運算式后，不同的方案數(shù)。例如(1+2+3)*4與(2+3+1)*4可利用加法的交換律變?yōu)橥环N形式，本質上是相同的，所以有必要剔除重復的結果。

5、終極問題：從以上52張撲克牌中任意取四張，能夠運算得到24的概率有多大？因為以下1820種組合的每一種出現(xiàn)的可能性不同，所以答案不是1-458/1820=74.8%，而是1-52908/270725=80.5%",,,,,

序號,組合,運算組合數(shù),方案數(shù),去重后,答案

1,"1,1,1,1",3480,0,0,--

2,"1,1,1,2",3678,0,0,--

3,"1,1,1,3",3702,0,0,--

4,"1,1,1,4",3702,0,0,--

5,"1,1,1,5",3702,0,0,--

6,"1,1,1,6",3702,0,0,--

7,"1,1,1,7",3702,0,0,--

8,"1,1,1,8",3702,3,1,(1+1+1)×8=24;

9,"1,1,1,9",3702,0,0,--

10,"1,1,1,10",3702,0,0,--

11,"1,1,1,11",3702,6,1,(1+11)×(1+1)=24;

12,"1,1,1,12",3702,42,4,(1+1)×1×12=24;(1+1)×12÷1=24;(1×1+1)×12=24;(1÷1+1)×12=24;

13,"1,1,1,13",3702,6,1,(1+1)×(13-1)=24;

14,"1,1,2,2",3736,0,0,--

15,"1,1,2,3",3808,0,0,--

16,"1,1,2,4",3824,0,0,--

17,"1,1,2,5",3824,0,0,--

18,"1,1,2,6",3824,7,2,(1+1+2)×6=24;(1+1)×2×6=24;

19,"1,1,2,7",3824,4,1,(1+2)×(1+7)=24;

20,"1,1,2,8",3824,29,6,(1×1+2)×8=24;(1÷1+2)×8=24;(1+2)×1×8=24;(1+2)×8÷1=24;(1×2+1)×8=24;(2÷1+1)×8=24;

21,"1,1,2,9",3824,4,1,(1+2)×(9-1)=24;

22,"1,1,2,10",3824,5,2,(1+1+10)×2=24;(1+1)×(2+10)=24;

23,"1,1,2,11",3824,34,8,(1+1)×11+2=24;2×11+1+1=24;(1×1+11)×2=24;(1÷1+11)×2=24;(1+11)×1×2=24;(1+11)×2÷1=24;(1×11+1)×2=24;(11÷1+1)×2=24;

24,"1,1,2,12",3824,172,7,(1+2-1)×12=24;(1+12-1)×2=24;2×12+1-1=24;1×1×2×12=24;2×12÷(1×1)=24;1×2×12÷1=24;12÷(1-1÷2)=24;

25,"1,1,2,13",3824,34,8,(1+1)×13-2=24;2×13-(1+1)=24;(13-1×1)×2=24;(13-1÷1)×2=24;(13-1)×1×2=24;(13-1)×2÷1=24;(1×13-1)×2=24;(13÷1-1)×2=24;

26,"1,1,3,3",3752,0,0,--

27,"1,1,3,4",3816,4,1,(1+1)×3×4=24;

28,"1,1,3,5",3832,4,1,(1+3)×(1+5)=24;

29,"1,1,3,6",3832,32,7,(1+1+6)×3=24;(1×1+3)×6=24;(1÷1+3)×6=24;(1+3)×1×6=24;(1+3)×6÷1=24;(1×3+1)×6=24;(3÷1+1)×6=24;

30,"1,1,3,7",3832,33,7,(1×1+7)×3=24;(1÷1+7)×3=24;(1+3)×(7-1)=24;(1+7)×1×3=24;(1+7)×3÷1=24;(1×7+1)×3=24;(7÷1+1)×3=24;

31,"1,1,3,8",3832,170,6,(1+3-1)×8=24;(1+8-1)×3=24;3×8+1-1=24;1×1×3×8=24;3×8÷(1×1)=24;1×3×8÷1=24;

32,"1,1,3,9",3832,31,7,(1+1)×(3+9)=24;(9-1×1)×3=24;(9-1÷1)×3=24;(9-1)×1×3=24;(9-1)×3÷1=24;(1×9-1)×3=24;(9÷1-1)×3=24;

33,"1,1,3,10",3832,3,1,(10-(1+1))×3=24;

34,"1,1,3,11",3832,4,1,(1+11)×(3-1)=24;

35,"1,1,3,12",3832,29,6,(3-1×1)×12=24;(3-1÷1)×12=24;(3-1)×1×12=24;(3-1)×12÷1=24;(1×3-1)×12=24;(3÷1-1)×12=24;

36,"1,1,3,13",3832,8,2,(1-13)×(1-3)=24;(13-1)×(3-1)=24;

37,"1,1,4,4",3752,6,1,(1+1+4)×4=24;

38,"1,1,4,5",3816,31,7,(1×1+5)×4=24;(1÷1+5)×4=24;(1+4)×5-1=24;(1+5)×1×4=24;(1+5)×4÷1=24;(1×5+1)×4=24;(5÷1+1)×4=24;

39,"1,1,4,6",3832,170,6,(1+4-1)×6=24;(1+6-1)×4=24;4×6+1-1=24;1×1×4×6=24;4×6÷(1×1)=24;1×4×6÷1=24;

40,"1,1,4,7",3832,33,7,(7-1×1)×4=24;(7-1÷1)×4=24;(1+7)×(4-1)=24;(7-1)×1×4=24;(7-1)×4÷1=24;(1×7-1)×4=24;(7÷1-1)×4=24;

41,"1,1,4,8",3832,34,8,(8-(1+1))×4=24;(1+1)×(4+8)=24;(4-1×1)×8=24;(4-1÷1)×8=24;(4-1)×1×8=24;(4-1)×8÷1=24;(1×4-1)×8=24;(4÷1-1)×8=24;

42,"1,1,4,9",3832,8,2,(1-4)×(1-9)=24;(4-1)×(9-1)=24;

43,"1,1,4,10",3832,1,1,(1+1)×10+4=24;

44,"1,1,4,11",3832,0,0,--

45,"1,1,4,12",3832,9,2,(4-(1+1))×12=24;4×12÷(1+1)=24;

46,"1,1,4,13",3832,0,0,--

47,"1,1,5,5",3752,34,7,5×5-1×1=24;5×5-1÷1=24;(1+5)×(5-1)=24;1×5×5-1=24;5×5÷1-1=24;(5×5-1)×1=24;(5×5-1)÷1=24;

48,"1,1,5,6",3816,31,7,(5-1×1)×6=24;(5-1÷1)×6=24;(5-1)×1×6=24;(5-1)×6÷1=24;(1×5-1)×6=24;(5÷1-1)×6=24;(6-1)×5-1=24;

49,"1,1,5,7",3832,10,3,(1+1)×(5+7)=24;(1-5)×(1-7)=24;(5-1)×(7-1)=24;

50,"1,1,5,8",3832,3,1,(5-(1+1))×8=24;

51,"1,1,5,9",3832,0,0,--

52,"1,1,5,10",3832,0,0,--

53,"1,1,5,11",3832,0,0,--

54,"1,1,5,12",3832,0,0,--

55,"1,1,5,13",3832,0,0,--

56,"1,1,6,6",3752,8,2,(6-(1+1))×6=24;(1+1)×(6+6)=24;

57,"1,1,6,7",3816,0,0,--

58,"1,1,6,8",3832,6,1,6×8÷(1+1)=24;

59,"1,1,6,9",3832,1,1,(1+1)×9+6=24;

60,"1,1,6,10",3832,0,0,--

61,"1,1,6,11",3832,0,0,--

62,"1,1,6,12",3832,1,1,(1+1)×6+12=24;

63,"1,1,6,13",3832,0,0,--

64,"1,1,7,7",3752,0,0,--

65,"1,1,7,8",3816,0,0,--

66,"1,1,7,9",3832,0,0,--

67,"1,1,7,10",3832,1,1,(1+1)×7+10=24;

68,"1,1,7,11",3832,0,0,--

69,"1,1,7,12",3832,0,0,--

70,"1,1,7,13",3832,0,0,--

71,"1,1,8,8",3752,2,1,(1+1)×8+8=24;

72,"1,1,8,9",3816,0,0,--

73,"1,1,8,10",3832,0,0,--

74,"1,1,8,11",3832,0,0,--

75,"1,1,8,12",3832,0,0,--

76,"1,1,8,13",3832,0,0,--

77,"1,1,9,9",3752,0,0,--

78,"1,1,9,10",3816,0,0,--

79,"1,1,9,11",3832,0,0,--

80,"1,1,9,12",3832,0,0,--

81,"1,1,9,13",3832,18,1,1+1+9+13=24;

82,"1,1,10,10",3752,0,0,--

83,"1,1,10,11",3816,0,0,--

84,"1,1,10,12",3832,18,1,1+1+10+12=24;

85,"1,1,10,13",3832,68,14,1×1+10+13=24;1÷1+10+13=24;(1+10)×1+13=24;(1+10)÷1+13=24;(1+10+13)×1=24;(1+10+13)÷1=24;1×13+1+10=24;13÷1+1+10=24;1×10+1+13=24;10÷1+1+13=24;(1+13)×1+10=24;(1+13)÷1+10=24;(10+13)×1+1=24;(10+13)÷1+1=24;

86,"1,1,11,11",3752,18,1,1+1+11+11=24;

87,"1,1,11,12",3816,68,14,1×1+11+12=24;1÷1+11+12=24;(1+11)×1+12=24;(1+11)÷1+12=24;(1+11+12)×1=24;(1+11+12)÷1=24;1×12+1+11=24;12÷1+1+11=24;1×11+1+12=24;11÷1+1+12=24;(1+12)×1+11=24;(1+12)÷1+11=24;(11+12)×1+1=24;(11+12)÷1+1=24;

88,"1,1,11,13",3832,164,22,1+11+13-1=24;1×1×11+13=24;11÷(1×1)+13=24;1×1×13+11=24;13÷(1×1)+11=24;(11+13)×1×1=24;(11+13)÷(1×1)=24;1×11÷1+13=24;1×13÷1+11=24;(11+13)×1÷1=24;(1×11+13)×1=24;(1×11+13)÷1=24;1×11+1×13=24;1×11+13÷1=24;(11÷1+13)×1=24;(11÷1+13)÷1=24;1×13+11÷1=24;11÷1+13÷1=24;(1×13+11)×1=24;(1×13+11)÷1=24;(13÷1+11)×1=24;(13÷1+11)÷1=24;

89,"1,1,12,12",3752,164,14,1+12+12-1=24;1×1×12+12=24;12÷(1×1)+12=24;(12+12)×1×1=24;(12+12)÷(1×1)=24;1×12÷1+12=24;(12+12)×1÷1=24;(1×12+12)×1=24;(1×12+12)÷1=24;1×12+1×12=24;1×12+12÷1=24;(12÷1+12)×1=24;(12÷1+12)÷1=24;12÷1+12÷1=24;

90,"1,1,12,13",3816,114,18,12+13-1×1=24;12+13-1÷1=24;13-(1-12)×1=24;13-(1-12)÷1=24;(12+13-1)×1=24;(12+13-1)÷1=24;1×13+12-1=24;13÷1+12-1=24;(12-1)×1+13=24;(12-1)÷1+13=24;1×12+13-1=24;12÷1+13-1=24;12-(1-13)×1=24;12-(1-13)÷1=24;(13-1)×1+12=24;(13-1)÷1+12=24;(12+13)×1-1=24;(12+13)÷1-1=24;

91,"1,1,13,13",3752,40,1,13+13-(1+1)=24;

92,"1,2,2,2",3684,0,0,--

93,"1,2,2,3",3804,0,0,--

94,"1,2,2,4",3806,8,1,(1+2)×2×4=24;

95,"1,2,2,5",3820,6,2,(1+5)×2×2=24;(1+5)×(2+2)=24;

96,"1,2,2,6",3820,76,7,(1+2)×(2+6)=24;(1×2+2)×6=24;1×2×2×6=24;2×2×6÷1=24;(2÷1+2)×6=24;(2+2)×1×6=24;(2+2)×6÷1=24;

97,"1,2,2,7",3820,6,2,(7-1)×2×2=24;(2+2)×(7-1)=24;

98,"1,2,2,8",3820,6,2,(2+2-1)×8=24;(2×2-1)×8=24;

99,"1,2,2,9",3820,6,1,(1+2+9)×2=24;

100,"1,2,2,10",3820,36,8,(1+2)×(10-2)=24;(1×2+10)×2=24;(2+10)×1×2=24;(2+10)×2÷1=24;(2÷1+10)×2=24;(1+10)×2+2=24;(1×10+2)×2=24;(10÷1+2)×2=24;

101,"1,2,2,11",3820,38,7,(2+11-1)×2=24;1×2×11+2=24;1×2+2×11=24;2×11÷1+2=24;2×11+2÷1=24;(2×11+2)×1=24;(2×11+2)÷1=24;

102,"1,2,2,12",3820,28,6,(2-1)×2×12=24;2×12÷(2-1)=24;(1+12)×2-2=24;2-(1-12)×2=24;(12-1)×2+2=24;(2÷2+1)×12=24;

103,"1,2,2,13",3820,38,7,(1+13-2)×2=24;1×2×13-2=24;2×13-1×2=24;2×13÷1-2=24;2×13-2÷1=24;(2×13-2)×1=24;(2×13-2)÷1=24;

104,"1,2,3,3",3804,8,1,(1+3)×2×3=24;

105,"1,2,3,4",3872,62,4,(1+2+3)×4=24;1×2×3×4=24;2×3×4÷1=24;(1+3)×(2+4)=24;

106,"1,2,3,5",3872,10,4,(1+2+5)×3=24;(1+2)×(3+5)=24;(5-1)×2×3=24;(2+3)×5-1=24;

107,"1,2,3,6",3874,24,8,(2+3-1)×6=24;(1×2+6)×3=24;(2÷1+6)×3=24;(3-1)×2×6=24;(2+6)×1×3=24;(2+6)×3÷1=24;(1×6+2)×3=24;(6÷1+2)×3=24;

108,"1,2,3,7",3880,10,3,(1+2)×7+3=24;3×7+1+2=24;(2+7-1)×3=24;

109,"1,2,3,8",3880,16,5,(2-1)×3×8=24;3×8÷(2-1)=24;(1+3+8)×2=24;(1+3)×(8-2)=24;8÷(1-2÷3)=24;

110,"1,2,3,9",3880,25,9,(1+2)×9-3=24;3×9-(1+2)=24;(1+9-2)×3=24;(3+9)×1×2=24;(3+9)×2÷1=24;(1×3+9)×2=24;(3÷1+9)×2=24;(1×9+3)×2=24;(9÷1+3)×2=24;

111,"1,2,3,10",3880,26,9,(10-1×2)×3=24;(10-2÷1)×3=24;2×10+1+3=24;(3+10-1)×2=24;(2+10)×(3-1)=24;(10-2)×1×3=24;(10-2)×3÷1=24;(1×10-2)×3=24;(10÷1-2)×3=24;

112,"1,2,3,11",3880,14,5,(11-(1+2))×3=24;(1+2)×(11-3)=24;2-(1-3)×11=24;2×11+3-1=24;(3-1)×11+2=24;

113,"1,2,3,12",3880,13,3,(1+3-2)×12=24;(1+3)×12÷2=24;12÷(3÷2-1)=24;

114,"1,2,3,13",3880,8,2,2×13+1-3=24;(3-1)×13-2=24;

115,"1,2,4,4",3820,40,8,(1+2)×(4+4)=24;(1×2+4)×4=24;(2÷1+4)×4=24;(4-1)×2×4=24;(1×4+2)×4=24;(2+4)×1×4=24;(2+4)×4÷1=24;(4÷1+2)×4=24;

116,"1,2,4,5",3880,7,2,(2+5-1)×4=24;(2+4)×(5-1)=24;

117,"1,2,4,6",3880,12,3,(2-1)×4×6=24;4×6÷(2-1)=24;(2+6)×(4-1)=24;

118,"1,2,4,7",3888,8,2,(1+7-2)×4=24;(1+4+7)×2=24;

119,"1,2,4,8",3882,36,14,(1+4-2)×8=24;(8-1×2)×4=24;(4+8)×1×2=24;(4+8)×2÷1=24;(8-2÷1)×4=24;(1×4+8)×2=24;(8-2)×1×4=24;(8-2)×4÷1=24;(4÷1+8)×2=24;(1×8-2)×4=24;(1×8+4)×2=24;(8÷1-2)×4=24;(8÷1+4)×2=24;(4÷2+1)×8=24;

120,"1,2,4,9",3888,9,3,(9-(1+2))×4=24;(4+9-1)×2=24;(1+9)×2+4=24;

121,"1,2,4,10",3888,19,9,1×2×10+4=24;2×10÷1+4=24;(1-4)×(2-10)=24;(10-2)×(4-1)=24;1×4+2×10=24;2×10+4÷1=24;(2×10+4)×1=24;(2×10+4)÷1=24;(10÷2+1)×4=24;

122,"1,2,4,11",3888,11,4,(1+11)×4÷2=24;(1+11)×(4-2)=24;4-(1-11)×2=24;(11-1)×2+4=24;

123,"1,2,4,12",3888,98,11,(1+2)×4+12=24;(1+2)×(12-4)=24;(4-1×2)×12=24;4×12÷(1×2)=24;1×4×12÷2=24;(4-2÷1)×12=24;(1×4-2)×12=24;(4÷1-2)×12=24;(4-2)×1×12=24;(4-2)×12÷1=24;12÷(1-2÷4)=24;

124,"1,2,4,13",3888,12,4,(1+13)×2-4=24;(1-13)×(2-4)=24;(13-1)×4÷2=24;(13-1)×(4-2)=24;

125,"1,2,5,5",3820,7,1,5×5+1-2=24;

126,"1,2,5,6",3880,10,3,(1+5-2)×6=24;(1+5+6)×2=24;(1+5)×(6-2)=24;

127,"1,2,5,7",3880,18,8,(5+7)×1×2=24;(5+7)×2÷1=24;(1×5+7)×2=24;(5÷1+7)×2=24;(1+7)×(5-2)=24;(1×7+5)×2=24;(7÷1+5)×2=24;(7-2)×5-1=24;

128,"1,2,5,8",3888,31,10,(5-1×2)×8=24;(5-2÷1)×8=24;(1+5)×8÷2=24;(5+8-1)×2=24;(1-5)×(2-8)=24;(5-1)×(8-2)=24;(1×5-2)×8=24;(5÷1-2)×8=24;(5-2)×1×8=24;(5-2)×8÷1=24;

129,"1,2,5,9",3888,9,4,(1+2)×5+9=24;2×9+1+5=24;(1-9)×(2-5)=24;(5-2)×(9-1)=24;

130,"1,2,5,10",3882,12,2,2×10+5-1=24;5×10÷2-1=24;

131,"1,2,5,11",3888,0,0,--

132,"1,2,5,12",3888,11,3,(5-(1+2))×12=24;(1+5)×2+12=24;(5-1)×12÷2=24;

133,"1,2,5,13",3888,6,2,(1+2)×(13-5)=24;2×5+1+13=24;

134,"1,2,6,6",3820,49,12,(1+2)×6+6=24;(6-1×2)×6=24;(6+6)×1×2=24;(6+6)×2÷1=24;(6-2÷1)×6=24;(1×6-2)×6=24;(1×6+6)×2=24;(6-2)×1×6=24;(6-2)×6÷1=24;(6÷1-2)×6=24;(6÷1+6)×2=24;(6÷2+1)×6=24;

135,"1,2,6,7",3880,19,5,(7-(1+2))×6=24;(6+7-1)×2=24;(1+7)×6÷2=24;(1-7)×(2-6)=24;(6-2)×(7-1)=24;

136,"1,2,6,8",3880,83,4,(6-(1+2))×8=24;6×8÷(1×2)=24;1×6×8÷2=24;(1+8)×2+6=24;

137,"1,2,6,9",3888,21,7,1×2×9+6=24;2×9÷1+6=24;1×6+2×9=24;2×9+6÷1=24;(9-1)×6÷2=24;(2×9+6)×1=24;(2×9+6)÷1=24;

138,"1,2,6,10",3888,5,5,(1+2)×10-6=24;(1+6)×2+10=24;6-(1-10)×2=24;(10-1)×2+6=24;(10÷2-1)×6=24;

139,"1,2,6,11",3888,4,1,2×6+1+11=24;

140,"1,2,6,12",3882,21,8,6×12÷(1+2)=24;1×2×6+12=24;2×6÷1+12=24;1×12+2×6=24;12÷1+2×6=24;(2×6+12)×1=24;(2×6+12)÷1=24;(6÷2-1)×12=24;

141,"1,2,6,13",3888,7,1,2×6+13-1=24;

142,"1,2,7,7",3820,1,1,(7×7-1)÷2=24;

143,"1,2,7,8",3880,12,3,(1+7)×2+8=24;2×8+1+7=24;(7-1)×8÷2=24;

144,"1,2,7,9",3880,11,2,2×9+7-1=24;2×7+1+9=24;

145,"1,2,7,10",3888,14,6,1×2×7+10=24;2×7÷1+10=24;1×10+2×7=24;10÷1+2×7=24;(2×7+10)×1=24;(2×7+10)÷1=24;

146,"1,2,7,11",3888,7,1,2×7+11-1=24;

147,"1,2,7,12",3888,2,2,12-(1-7)×2=24;(7-1)×2+12=24;

148,"1,2,7,13",3888,0,0,--

149,"1,2,8,8",3820,30,7,1×2×8+8=24;2×8÷1+8=24;1×8+2×8=24;2×8+8÷1=24;(2×8+8)×1=24;(2×8+8)÷1=24;(8÷2-1)×8=24;

150,"1,2,8,9",3880,15,4,8×9÷(1+2)=24;8-(1-9)×2=24;2×8+9-1=24;(9-1)×2+8=24;

151,"1,2,8,10",3880,2,2,10-(1-8)×2=24;(8-1)×2+10=24;

152,"1,2,8,11",3888,0,0,--

153,"1,2,8,12",3888,0,0,--

154,"1,2,8,13",3888,18,1,1+2+8+13=24;

155,"1,2,9,9",3820,0,0,--

156,"1,2,9,10",3880,0,0,--

157,"1,2,9,11",3880,1,1,(1+2)×11-9=24;

158,"1,2,9,12",3888,18,1,1+2+9+12=24;

159,"1,2,9,13",3888,36,14,1×2+9+13=24;2÷1+9+13=24;1×9+2+13=24;9÷1+2+13=24;1×13+2+9=24;13÷1+2+9=24;(2+9)×1+13=24;(2+9)÷1+13=24;(2+9+13)×1=24;(2+9+13)÷1=24;(2+13)×1+9=24;(2+13)÷1+9=24;(9+13)×1+2=24;(9+13)÷1+2=24;

160,"1,2,10,10",3820,0,0,--

161,"1,2,10,11",3880,18,1,1+2+10+11=24;

162,"1,2,10,12",3880,36,14,1×2+10+12=24;2÷1+10+12=24;1×10+2+12=24;10÷1+2+12=24;1×12+2+10=24;12÷1+2+10=24;(2+10)×1+12=24;(2+10)÷1+12=24;(2+10+12)×1=24;(2+10+12)÷1=24;(2+12)×1+10=24;(2+12)÷1+10=24;(10+12)×1+2=24;(10+12)÷1+2=24;

163,"1,2,10,13",3888,39,1,2+10+13-1=24;

164,"1,2,11,11",3820,36,10,1×2+11+11=24;2÷1+11+11=24;1×11+2+11=24;11÷1+2+11=24;(2+11)×1+11=24;(2+11)÷1+11=24;(2+11+11)×1=24;(2+11+11)÷1=24;(11+11)×1+2=24;(11+11)÷1+2=24;

165,"1,2,11,12",3880,40,2,2+11+12-1=24;2÷(1-11÷12)=24;

166,"1,2,11,13",3880,12,10,13-(1-2)×11=24;13-11÷(1-2)=24;11-(1-2)×13=24;11-13÷(1-2)=24;(2-1)×11+13=24;11÷(2-1)+13=24;(2-1)×13+11=24;13÷(2-1)+11=24;(11+13)×(2-1)=24;(11+13)÷(2-1)=24;

167,"1,2,12,12",3820,14,7,(1+2)×12-12=24;12-(1-2)×12=24;12-12÷(1-2)=24;(2-1)×12+12=24;12÷(2-1)+12=24;(12+12)×(2-1)=24;(12+12)÷(2-1)=24;

168,"1,2,12,13",3880,40,2,1+12+13-2=24;2÷(13÷12-1)=24;

169,"1,2,13,13",3820,60,12,13+13-1×2=24;13+13-2÷1=24;1×13+13-2=24;13÷1+13-2=24;13-(2-13)×1=24;13-(2-13)÷1=24;(13+13-2)×1=24;(13+13-2)÷1=24;(13-2)×1+13=24;(13-2)÷1+13=24;(13+13)×1-2=24;(13+13)÷1-2=24;

170,"1,3,3,3",3684,9,2,(1+3)×(3+3)=24;(3×3-1)×3=24;

171,"1,3,3,4",3804,29,6,(1+3+4)×3=24;(3-1)×3×4=24;(1×3+3)×4=24;(3÷1+3)×4=24;(3+3)×1×4=24;(3+3)×4÷1=24;

172,"1,3,3,5",3820,32,7,(1×3+5)×3=24;(3+5)×1×3=24;(3+5)×3÷1=24;(3÷1+5)×3=24;(3+3)×(5-1)=24;(1×5+3)×3=24;(5÷1+3)×3=24;

173,"1,3,3,6",3812,12,2,(3+6-1)×3=24;(1+6)×3+3=24;

174,"1,3,3,7",3820,28,6,1×3×7+3=24;1×3+3×7=24;3×7÷1+3=24;3×7+3÷1=24;(3×7+3)×1=24;(3×7+3)÷1=24;

175,"1,3,3,8",3820,6,3,(1+8)×3-3=24;3-(1-8)×3=24;(8-1)×3+3=24;

176,"1,3,3,9",3814,38,9,(1+3)×(9-3)=24;(3+9)×(3-1)=24;1×3×9-3=24;3×9-1×3=24;(3-1÷3)×9=24;3×9÷1-3=24;3×9-3÷1=24;(3×9-3)×1=24;(3×9-3)÷1=24;

177,"1,3,3,10",3820,12,2,(1+10-3)×3=24;(10-1)×3-3=24;

178,"1,3,3,11",3820,30,6,(11-1×3)×3=24;(11-3)×1×3=24;(11-3)×3÷1=24;(11-3÷1)×3=24;(1×11-3)×3=24;(11÷1-3)×3=24;

179,"1,3,3,12",3820,10,3,(1+3)×3+12=24;(12-(1+3))×3=24;(3÷3+1)×12=24;

180,"1,3,3,13",3820,0,0,--

181,"1,3,4,4",3804,25,5,(3+4-1)×4=24;(4+4)×1×3=24;(4+4)×3÷1=24;(1×4+4)×3=24;(4÷1+4)×3=24;

182,"1,3,4,5",3872,12,4,(1+3)×5+4=24;4×5+1+3=24;(4+5-1)×3=24;(3+5)×(4-1)=24;

183,"1,3,4,6",3880,1,1,6÷(1-3÷4)=24;

184,"1,3,4,7",3872,14,5,(1+3)×7-4=24;4×7-(1+3)=24;3-(1-4)×7=24;3×7+4-1=24;(4-1)×7+3=24;

185,"1,3,4,8",3880,9,4,(1+3)×4+8=24;(1+8-3)×4=24;(3-1)×(4+8)=24;8÷(4÷3-1)=24;

186,"1,3,4,9",3880,24,9,(9-1×3)×4=24;(9-3÷1)×4=24;(1+4)×3+9=24;3×9+1-4=24;(4-1)×9-3=24;(9-3)×1×4=24;(9-3)×4÷1=24;(1×9-3)×4=24;(9÷1-3)×4=24;

187,"1,3,4,10",3880,7,4,(10-(1+3))×4=24;(1+3)×(10-4)=24;4-(1-3)×10=24;(3-1)×10+4=24;

188,"1,3,4,11",3880,13,4,(1+11-4)×3=24;(1-4)×(3-11)=24;(11-3)×(4-1)=24;3×4+1+11=24;

189,"1,3,4,12",3874,40,14,(1+4-3)×12=24;4×12÷(3-1)=24;1×3×4+12=24;(12-4)×1×3=24;3×4÷1+12=24;(12-4)×3÷1=24;(12-1×4)×3=24;(12-4÷1)×3=24;(1×12-4)×3=24;1×12+3×4=24;(12÷1-4)×3=24;12÷1+3×4=24;(3×4+12)×1=24;(3×4+12)÷1=24;

190,"1,3,4,13",3880,10,2,(13-(1+4))×3=24;3×4+13-1=24;

191,"1,3,5,5",3820,0,0,--

192,"1,3,5,6",3880,5,2,(1+5)×3+6=24;3×6+1+5=24;

193,"1,3,5,7",3888,4,2,(3-1)×(5+7)=24;(1+5)×(7-3)=24;

194,"1,3,5,8",3880,10,3,(1+5-3)×8=24;3×5+1+8=24;(8-3)×5-1=24;

195,"1,3,5,9",3888,19,9,1×3×5+9=24;3×5÷1+9=24;(1-5)×(3-9)=24;(5-1)×(9-3)=24;1×9+3×5=24;3×5+9÷1=24;(3×5+9)×1=24;(3×5+9)÷1=24;(5÷3+1)×9=24;

196,"1,3,5,10",3888,11,2,3×10-(1+5)=24;3×5+10-1=24;

197,"1,3,5,11",3888,4,2,(1+3)×(11-5)=24;(1+11)×(5-3)=24;

198,"1,3,5,12",3888,29,10,(5-1×3)×12=24;(5-3÷1)×12=24;(1+5)×12÷3=24;12-(1-5)×3=24;(1+12-5)×3=24;(5-1)×3+12=24;(1×5-3)×12=24;(5÷1-3)×12=24;(5-3)×1×12=24;(5-3)×12÷1=24;

199,"1,3,5,13",3888,19,8,(13-5)×1×3=24;(13-5)×3÷1=24;(13-1×5)×3=24;(13-5÷1)×3=24;(1-13)×(3-5)=24;(13-1)×(5-3)=24;(1×13-5)×3=24;(13÷1-5)×3=24;

200,"1,3,6,6",3820,40,8,(1+6-3)×6=24;(3-1)×(6+6)=24;1×3×6+6=24;3×6÷1+6=24;1×6+3×6=24;3×6+6÷1=24;(3×6+6)×1=24;(3×6+6)÷1=24;

201,"1,3,6,7",3880,26,10,(7-1×3)×6=24;(7-3÷1)×6=24;(7-3)×1×6=24;(7-3)×6÷1=24;(1+7)×(6-3)=24;6-(1-7)×3=24;3×6+7-1=24;(7-1)×3+6=24;(1×7-3)×6=24;(7÷1-3)×6=24;

202,"1,3,6,8",3888,25,9,(8-(1+3))×6=24;6×8÷(3-1)=24;(6-1×3)×8=24;(6-3÷1)×8=24;(1×6-3)×8=24;(6÷1-3)×8=24;(6-3)×1×8=24;(6-3)×8÷1=24;(6÷3+1)×8=24;

203,"1,3,6,9",3880,10,8,6-(1-3)×9=24;(3-1)×9+6=24;9-(1-6)×3=24;(6-1)×3+9=24;(1+9)×3-6=24;(1-9)×(3-6)=24;(6-3)×(9-1)=24;(9÷3+1)×6=24;

204,"1,3,6,10",3888,14,6,1×3×10-6=24;3×10÷1-6=24;3×10-1×6=24;3×10-6÷1=24;(3×10-6)×1=24;(3×10-6)÷1=24;

205,"1,3,6,11",3888,8,2,(1+11)×6÷3=24;(11-1)×3-6=24;

206,"1,3,6,12",3888,87,7,(6-(1+3))×12=24;(1+3)×(12-6)=24;12-(1-3)×6=24;(3-1)×6+12=24;6×12÷(1×3)=24;1×6×12÷3=24;12÷(1-3÷6)=24;

207,"1,3,6,13",3888,12,2,(1+13-6)×3=24;(13-1)×6÷3=24;

208,"1,3,7,7",3820,8,2,(1-7)×(3-7)=24;(7-1)×(7-3)=24;

209,"1,3,7,8",3880,4,2,(7-(1+3))×8=24;3÷(1-7÷8)=24;

210,"1,3,7,9",3888,7,1,(1+7)×9÷3=24;

211,"1,3,7,10",3880,9,3,10-(1-3)×7=24;(3-1)×7+10=24;3×10+1-7=24;

212,"1,3,7,11",3888,0,0,--

213,"1,3,7,12",3888,7,1,(7-1)×12÷3=24;

214,"1,3,7,13",3888,20,2,1+3+7+13=24;(1+3)×(13-7)=24;

215,"1,3,8,8",3820,20,4,(1+3)×8-8=24;8-(1-3)×8=24;(3-1)×8+8=24;(1+8)×8÷3=24;

216,"1,3,8,9",3880,80,3,8×9÷(1×3)=24;1×8×9÷3=24;3÷(9÷8-1)=24;

217,"1,3,8,10",3888,7,1,(10-1)×8÷3=24;

218,"1,3,8,11",3880,4,1,3×11-(1+8)=24;

219,"1,3,8,12",3888,25,3,1+3+8+12=24;8×12÷(1+3)=24;(12÷3-1)×8=24;

220,"1,3,8,13",3888,36,14,1×3+8+13=24;3÷1+8+13=24;1×8+3+13=24;8÷1+3+13=24;1×13+3+8=24;13÷1+3+8=24;(3+8)×1+13=24;(3+8)÷1+13=24;(3+8+13)×1=24;(3+8+13)÷1=24;(3+13)×1+8=24;(3+13)÷1+8=24;(8+13)×1+3=24;(8+13)÷1+3=24;

221,"1,3,9,9",3820,14,1,(9-1)×9÷3=24;

222,"1,3,9,10",3880,1,1,(1+10)×3-9=24;

223,"1,3,9,11",3888,33,8,1+3+9+11=24;1×3×11-9=24;3×11÷1-9=24;3×11-1×9=24;3×11-9÷1=24;(3×11-9)×1=24;(3×11-9)÷1=24;(11÷3-1)×9=24;

224,"1,3,9,12",3880,39,17,(1+3)×9-12=24;1×3+9+12=24;3÷1+9+12=24;1×9+3+12=24;9÷1+3+12=24;(12-1)×3-9=24;1×12+3+9=24;12÷1+3+9=24;(3+9)×1+12=24;(3+9)÷1+12=24;(3+9+12)×1=24;(3+9+12)÷1=24;(9÷3-1)×12=24;(3+12)×1+9=24;(3+12)÷1+9=24;(9+12)×1+3=24;(9+12)÷1+3=24;

225,"1,3,9,13",3888,39,1,3+9+13-1=24;

226,"1,3,10,10",3820,18,1,1+3+10+10=24;

227,"1,3,10,11",3880,43,15,1×3+10+11=24;3÷1+10+11=24;3×11+1-10=24;1×10+3+11=24;10÷1+3+11=24;1×11+3+10=24;11÷1+3+10=24;(3+10)×1+11=24;(3+10)÷1+11=24;(3+10+11)×1=24;(3+10+11)÷1=24;(3+11)×1+10=24;(3+11)÷1+10=24;(10+11)×1+3=24;(10+11)÷1+3=24;

228,"1,3,10,12",3888,39,1,3+10+12-1=24;

229,"1,3,10,13",3880,0,0,--

230,"1,3,11,11",3820,39,1,3+11+11-1=24;

231,"1,3,11,12",3880,5,2,(1+11)×3-12=24;3×12-(1+11)=24;

232,"1,3,11,13",3888,0,0,--

233,"1,3,12,12",3820,28,6,1×3×12-12=24;3×12÷1-12=24;3×12-1×12=24;3×12-12÷1=24;(3×12-12)×1=24;(3×12-12)÷1=24;

234,"1,3,12,13",3880,8,2,3×12+1-13=24;(13-1)×3-12=24;

235,"1,3,13,13",3820,39,1,1+13+13-3=24;

236,"1,4,4,4",3684,12,2,(1+4)×4+4=24;(4+4)×(4-1)=24;

237,"1,4,4,5",3804,28,6,1×4×5+4=24;1×4+4×5=24;4×5÷1+4=24;4×5+4÷1=24;(4×5+4)×1=24;(4×5+4)÷1=24;

238,"1,4,4,6",3820,6,3,(1+6)×4-4=24;4-(1-6)×4=24;(6-1)×4+4=24;

239,"1,4,4,7",3820,32,7,1×4×7-4=24;4×7-1×4=24;4×7÷1-4=24;4×7-4÷1=24;4×4+1+7=24;(4×7-4)×1=24;(4×7-4)÷1=24;

240,"1,4,4,8",3812,16,7,1×4×4+8=24;4×4÷1+8=24;(8-1)×4-4=24;1×8+4×4=24;4×4+8÷1=24;(4×4+8)×1=24;(4×4+8)÷1=24;

241,"1,4,4,9",3820,17,2,(1+9-4)×4=24;4×4+9-1=24;

242,"1,4,4,10",3820,30,6,(10-1×4)×4=24;(10-4)×1×4=24;(10-4)×4÷1=24;(10-4÷1)×4=24;(1×10-4)×4=24;(10÷1-4)×4=24;

243,"1,4,4,11",3820,6,1,(11-(1+4))×4=24;

244,"1,4,4,12",3820,14,5,12-(1-4)×4=24;(1-4)×(4-12)=24;(4-1)×4+12=24;(12-4)×(4-1)=24;(4÷4+1)×12=24;

245,"1,4,4,13",3820,0,0,--

246,"1,4,5,5",3804,18,3,4-(1-5)×5=24;4×5+5-1=24;(5-1)×5+4=24;

247,"1,4,5,6",3872,2,2,6÷(5÷4-1)=24;4÷(1-5÷6)=24;

248,"1,4,5,7",3880,8,2,4×7+1-5=24;(5-1)×7-4=24;

249,"1,4,5,8",3880,4,3,(1+5)×(8-4)=24;8-(1-5)×4=24;(5-1)×4+8=24;

250,"1,4,5,9",3872,3,3,9-(1-4)×5=24;(4-1)×5+9=24;(9-4)×5-1=24;

251,"1,4,5,10",3880,9,3,(1+10-5)×4=24;(1-5)×(4-10)=24;(10-4)×(5-1)=24;

252,"1,4,5,11",3880,15,6,(11-5)×1×4=24;(11-5)×4÷1=24;(11-1×5)×4=24;(11-5÷1)×4=24;(1×11-5)×4=24;(11÷1-5)×4=24;

253,"1,4,5,12",3880,8,2,(1+5-4)×12=24;(12-(1+5))×4=24;

254,"1,4,5,13",3880,4,2,(1-4)×(5-13)=24;(13-5)×(4-1)=24;

255,"1,4,6,6",3820,6,3,(1+4)×6-6=24;6-(1-4)×6=24;(4-1)×6+6=24;

256,"1,4,6,7",3880,6,2,(1+7-4)×6=24;4÷(7÷6-1)=24;

257,"1,4,6,8",3888,21,8,(1+6-4)×8=24;(8-1×4)×6=24;(8-4÷1)×6=24;(8-4)×1×6=24;(8-4)×6÷1=24;(1×8-4)×6=24;(8÷1-4)×6=24;8÷(1-4÷6)=24;

258,"1,4,6,9",3888,3,1,(9-(1+4))×6=24;

259,"1,4,6,10",3880,1,1,(4-1)×10-6=24;

260,"1,4,6,11",3888,7,2,(1+11-6)×4=24;(1+11)×(6-4)=24;

261,"1,4,6,12",3888,38,15,6×12÷(4-1)=24;(6-1×4)×12=24;(12-6)×1×4=24;(12-6)×4÷1=24;(6-4÷1)×12=24;(1×6-4)×12=24;(12-1×6)×4=24;(6÷1-4)×12=24;(12-6÷1)×4=24;(1×12-6)×4=24;(6-4)×1×12=24;(6-4)×12÷1=24;(12÷1-6)×4=24;12÷(6÷4-1)=24;(12÷4+1)×6=24;

262,"1,4,6,13",3888,25,4,1+4+6+13=24;(13-(1+6))×4=24;(1-13)×(4-6)=24;(13-1)×(6-4)=24;

263,"1,4,7,7",3820,4,1,(1+7)×(7-4)=24;

264,"1,4,7,8",3880,24,10,(7-1×4)×8=24;(7-4÷1)×8=24;(1+7)×4-8=24;4×8-(1+7)=24;(1-7)×(4-8)=24;(7-1)×(8-4)=24;(1×7-4)×8=24;(7÷1-4)×8=24;(7-4)×1×8=24;(7-4)×8÷1=24;

265,"1,4,7,9",3888,4,2,(1-9)×(4-7)=24;(7-4)×(9-1)=24;

266,"1,4,7,10",3888,0,0,--

267,"1,4,7,11",3880,1,1,(1+4)×7-11=24;

268,"1,4,7,12",3888,33,4,1+4+7+12=24;(7-(1+4))×12=24;(1+7)×12÷4=24;(1+12-7)×4=24;

269,"1,4,7,13",3888,51,20,1×4+7+13=24;(13-7)×1×4=24;(13-7)×4÷1=24;4÷1+7+13=24;1×7+4+13=24;(13-1×7)×4=24;7÷1+4+13=24;(13-7÷1)×4=24;1×13+4+7=24;(1×13-7)×4=24;13÷1+4+7=24;(13÷1-7)×4=24;(4+7)×1+13=24;(4+7)÷1+13=24;(4+7+13)×1=24;(4+7+13)÷1=24;(4+13)×1+7=24;(4+13)÷1+7=24;(7+13)×1+4=24;(7+13)÷1+4=24;

270,"1,4,8,8",3820,36,8,(8-(1+4))×8=24;1×4×8-8=24;4×8÷1-8=24;4×8-1×8=24;4×8-8÷1=24;(4×8-8)×1=24;(4×8-8)÷1=24;(8÷4+1)×8=24;

271,"1,4,8,9",3880,14,3,8×9÷(4-1)=24;4×8+1-9=24;(9-1)×4-8=24;

272,"1,4,8,10",3888,0,0,--

273,"1,4,8,11",3888,25,2,1+4+8+11=24;(1+11)×8÷4=24;

274,"1,4,8,12",3880,117,18,1×4+8+12=24;8×12÷(1×4)=24;1×8×12÷4=24;4÷1+8+12=24;(1+8)×4-12=24;1×8+4+12=24;8÷1+4+12=24;1×12+4+8=24;12÷1+4+8=24;(4+8)×1+12=24;(4+8)÷1+12=24;(4+8+12)×1=24;(4+8+12)÷1=24;12÷(1-4÷8)=24;(4+12)×1+8=24;(4+12)÷1+8=24;(8+12)×1+4=24;(8+12)÷1+4=24;

275,"1,4,8,13",3888,51,3,4+8+13-1=24;(1+13-8)×4=24;(13-1)×8÷4=24;

276,"1,4,9,9",3820,0,0,--

277,"1,4,9,10",3880,18,1,1+4+9+10=24;

278,"1,4,9,11",3888,41,16,(4-1)×11-9=24;1×4+9+11=24;4÷1+9+11=24;1×9+4+11=24;9÷1+4+11=24;4×9-(1+11)=24;1×11+4+9=24;11÷1+4+9=24;(4+9)×1+11=24;(4+9)÷1+11=24;(4+9+11)×1=24;(4+9+11)÷1=24;(4+11)×1+9=24;(4+11)÷1+9=24;(9+11)×1+4=24;(9+11)÷1+4=24;

279,"1,4,9,12",3888,60,8,4+9+12-1=24;1×4×9-12=24;4×9÷1-12=24;(9-1)×12÷4=24;4×9-1×12=24;4×9-12÷1=24;(4×9-12)×1=24;(4×9-12)÷1=24;

280,"1,4,9,13",3880,7,1,4×9+1-13=24;

281,"1,4,10,10",3820,41,11,1×4+10+10=24;4÷1+10+10=24;1×10+4+10=24;10÷1+4+10=24;(4+10)×1+10=24;(4+10)÷1+10=24;(4+10+10)×1=24;(4+10+10)÷1=24;10×10÷4-1=24;(10+10)×1+4=24;(10+10)÷1+4=24;

282,"1,4,10,11",3880,39,1,4+10+11-1=24;

283,"1,4,10,12",3888,8,3,10×12÷(1+4)=24;(10-1)×4-12=24;4÷(1-10÷12)=24;

284,"1,4,10,13",3888,0,0,--

285,"1,4,11,11",3820,0,0,--

286,"1,4,11,12",3880,0,0,--

287,"1,4,11,13",3888,0,0,--

288,"1,4,12,12",3820,4,2,(4-1)×12-12=24;(12÷4-1)×12=24;

289,"1,4,12,13",3880,0,0,--

290,"1,4,13,13",3820,0,0,--

291,"1,5,5,5",3684,6,1,(5-1÷5)×5=24;

292,"1,5,5,6",3804,10,2,(1+5)×5-6=24;5×6-(1+5)=24;

293,"1,5,5,7",3820,0,0,--

294,"1,5,5,8",3820,0,0,--

295,"1,5,5,9",3820,4,1,(1+5)×(9-5)=24;

296,"1,5,5,10",3812,2,1,(10-5)×5-1=24;

297,"1,5,5,11",3820,8,2,(1-5)×(5-11)=24;(11-5)×(5-1)=24;

298,"1,5,5,12",3820,2,1,(5÷5+1)×12=24;

299,"1,5,5,13",3820,18,1,1+5+5+13=24;

300,"1,5,6,6",3804,28,6,1×5×6-6=24;5×6÷1-6=24;5×6-1×6=24;5×6-6÷1=24;(5×6-6)×1=24;(5×6-6)÷1=24;

301,"1,5,6,7",3872,8,2,5×6+1-7=24;(7-1)×5-6=24;

302,"1,5,6,8",3880,5,1,(1+8-5)×6=24;

303,"1,5,6,9",3880,15,6,(9-1×5)×6=24;(9-5÷1)×6=24;(9-5)×1×6=24;(9-5)×6÷1=24;(1×9-5)×6=24;(9÷1-5)×6=24;

304,"1,5,6,10",3880,5,2,(10-(1+5))×6=24;(1+5)×(10-6)=24;

305,"1,5,6,11",3872,2,2,(1+6)×5-11=24;(11-6)×5-1=24;

306,"1,5,6,12",3880,28,5,1+5+6+12=24;(1+5)×6-12=24;(1+6-5)×12=24;(1-5)×(6-12)=24;(12-6)×(5-1)=24;

307,"1,5,6,13",3880,36,14,1×5+6+13=24;5÷1+6+13=24;1×6+5+13=24;6÷1+5+13=24;1×13+5+6=24;13÷1+5+6=24;(5+6)×1+13=24;(5+6)÷1+13=24;(5+6+13)×1=24;(5+6+13)÷1=24;(5+13)×1+6=24;(5+13)÷1+6=24;(6+13)×1+5=24;(6+13)÷1+5=24;

308,"1,5,7,7",3820,0,0,--

309,"1,5,7,8",3880,7,2,(1+7-5)×8=24;(1+7)×(8-5)=24;

310,"1,5,7,9",3888,4,2,(1-7)×(5-9)=24;(7-1)×(9-5)=24;

311,"1,5,7,10",3888,5,2,5×7-(1+10)=24;(7÷5+1)×10=24;

312,"1,5,7,11",3888,36,9,1+5+7+11=24;(1+5)×(11-7)=24;1×5×7-11=24;5×7÷1-11=24;(1+11)×(7-5)=24;5×7-1×11=24;5×7-11÷1=24;(5×7-11)×1=24;(5×7-11)÷1=24;

313,"1,5,7,12",3880,59,22,1×5+7+12=24;(7-1×5)×12=24;5÷1+7+12=24;(7-5÷1)×12=24;1×7+5+12=24;(1×7-5)×12=24;7÷1+5+12=24;(7÷1-5)×12=24;5×7+1-12=24;1×12+5+7=24;(7-5)×1×12=24;(7-5)×12÷1=24;12÷1+5+7=24;(5+7)×1+12=24;(5+7)÷1+12=24;(5+7+12)×1=24;(5+7+12)÷1=24;(5+12)×1+7=24;(5+12)÷1+7=24;(7+12)×1+5=24;(7+12)÷1+5=24;(12-7)×5-1=24;

314,"1,5,7,13",3888,47,5,5+7+13-1=24;(1-5)×(7-13)=24;(13-7)×(5-1)=24;(1-13)×(5-7)=24;(13-1)×(7-5)=24;

315,"1,5,8,8",3820,32,7,(5-1)×8-8=24;(8-1×5)×8=24;(8-5÷1)×8=24;(1×8-5)×8=24;(8-5)×1×8=24;(8-5)×8÷1=24;(8÷1-5)×8=24;

316,"1,5,8,9",3880,8,4,(9-(1+5))×8=24;(1-9)×(5-8)=24;(8-5)×(9-1)=24;9÷(1-5÷8)=24;

317,"1,5,8,10",3888,19,2,1+5+8+10=24;(10÷5+1)×8=24;

318,"1,5,8,11",3888,37,15,1×5+8+11=24;5÷1+8+11=24;(8-1)×5-11=24;1×8+5+11=24;8÷1+5+11=24;1×11+5+8=24;11÷1+5+8=24;(5+8)×1+11=24;(5+8)÷1+11=24;(5+8+11)×1=24;(5+8+11)÷1=24;(5+11)×1+8=24;(5+11)÷1+8=24;(8+11)×1+5=24;(8+11)÷1+5=24;

319,"1,5,8,12",3888,50,4,(8-(1+5))×12=24;(1+5)×(12-8)=24;5+8+12-1=24;8×12÷(5-1)=24;

320,"1,5,8,13",3880,1,1,(13-8)×5-1=24;

321,"1,5,9,9",3820,18,1,1+5+9+9=24;

322,"1,5,9,10",3880,36,14,1×5+9+10=24;5÷1+9+10=24;1×9+5+10=24;9÷1+5+10=24;1×10+5+9=24;10÷1+5+9=24;(5+9)×1+10=24;(5+9)÷1+10=24;(5+9+10)×1=24;(5+9+10)÷1=24;(5+10)×1+9=24;(5+10)÷1+9=24;(9+10)×1+5=24;(9+10)÷1+5=24;

323,"1,5,