Question

数学题（24点）

有一个算24点的游戏，它的规则是这样的：任取4个1到13之间的正整数，将这4个数（每个数只允许使用一次)进行加减乘除混合运算，是结果为24，例如1，2，3，4可做运算（1+2+3）乘4=24，现在有4个有理数3，4，6，10，请你运用上述规则写出2种不同的算式，使其结果都为24。

Answer 1

1: 3 × (4 - 6 + 10)
2: 3 × ((4 - 6) + 10)
3: 3 × (4 - (6 - 10))
4: 3 × (4 + 10 - 6)
5: 3 × ((4 + 10) - 6)
6: 3 × (4 + (10 - 6))
7: 3 × 6 - 4 + 10
8: (3 × 6) - 4 + 10
9: (3 × 6 - 4) + 10
10: ((3 × 6) - 4) + 10
11: 3 × 6 -(4 - 10)
12: (3 × 6) - (4 - 10)
13: 3 × 6 + 10 - 4
14: (3 × 6) + 10 - 4
15: (3 × 6 + 10) - 4
16: ((3 × 6) + 10) - 4
17: 3 × 6 +(10 - 4)
18: (3 × 6) + (10 - 4)
19: 3 × (10 + 4 - 6)
20: 3 × ((10 + 4) - 6)
21: 3 × (10 + (4 - 6))
22: (3 × (10 - 4)) + 6
23: 3 × (10 - 4) + 6
24: 3 × (10 - 6 + 4)
25: 3 × ((10 - 6) + 4)
26: 3 × (10 - (6 - 4))
27: 4 + 6 ÷ 3 × 10
28: 4 + (6 ÷ 3) × 10
29: 4 + (6 ÷ 3 × 10)
30: 4 + ((6 ÷ 3) × 10)
31: 4 + (6 ÷ (3 ÷ 10))
32: 4 + 6 ÷(3 ÷ 10)
33: 4 + 6 × 10 ÷ 3
34: 4 + (6 × 10) ÷ 3
35: 4 + (6 × 10 ÷ 3)
36: 4 + ((6 × 10) ÷ 3)
37: 4 + (6 × (10 ÷ 3))
38: 4 + 6 ×(10 ÷ 3)
39: (4 - 6 + 10) × 3
40: ((4 - 6) + 10) × 3
41: (4 - (6 - 10)) × 3
42: 4 + 10 ÷ 3 × 6
43: 4 + (10 ÷ 3) × 6
44: 4 + (10 ÷ 3 × 6)
45: 4 + ((10 ÷ 3) × 6)
46: 4 + (10 ÷ (3 ÷ 6))
47: 4 + 10 ÷(3 ÷ 6)
48: (4 + 10 - 6) × 3
49: ((4 + 10) - 6) × 3
50: (4 + (10 - 6)) × 3
51: 4 + 10 × 6 ÷ 3
52: 4 + (10 × 6) ÷ 3
53: 4 + (10 × 6 ÷ 3)
54: 4 + ((10 × 6) ÷ 3)
55: 4 + (10 × (6 ÷ 3))
56: 4 + 10 ×(6 ÷ 3)
57: 6 - (3 × (4 - 10))
58: 6 - 3 ×(4 - 10)
59: 6 × 3 - 4 + 10
60: (6 × 3) - 4 + 10
61: (6 × 3 - 4) + 10
62: ((6 × 3) - 4) + 10
63: 6 × 3 -(4 - 10)
64: (6 × 3) - (4 - 10)
65: 6 + (3 × (10 - 4))
66: 6 + 3 ×(10 - 4)
67: 6 × 3 + 10 - 4
68: (6 × 3) + 10 - 4
69: (6 × 3 + 10) - 4
70: ((6 × 3) + 10) - 4
71: 6 × 3 +(10 - 4)
72: (6 × 3) + (10 - 4)
73: 6 ÷ 3 × 10 + 4
74: (6 ÷ 3) × 10 + 4
75: (6 ÷ 3 × 10) + 4
76: ((6 ÷ 3) × 10) + 4
77: (6 ÷ (3 ÷ 10)) + 4
78: 6 ÷ (3 ÷ 10) + 4
79: 6 - (4 - 10) × 3
80: 6 - ((4 - 10) × 3)
81: 6 × 10 ÷ 3 + 4
82: (6 × 10) ÷ 3 + 4
83: (6 × 10 ÷ 3) + 4
84: ((6 × 10) ÷ 3) + 4
85: (6 × (10 ÷ 3)) + 4
86: 6 × (10 ÷ 3) + 4
87: 6 + (10 - 4) × 3
88: 6 + ((10 - 4) × 3)
89: 10 + 3 × 6 - 4
90: (10 + 3 × 6) - 4
91: (10 + (3 × 6)) - 4
92: 10 + (3 × 6) - 4
93: 10 + (3 × 6 - 4)
94: 10 + ((3 × 6) - 4)
95: 10 ÷ 3 × 6 + 4
96: (10 ÷ 3) × 6 + 4
97: (10 ÷ 3 × 6) + 4
98: ((10 ÷ 3) × 6) + 4
99: (10 ÷ (3 ÷ 6)) + 4
100: 10 ÷ (3 ÷ 6) + 4
101: 10 - 4 + 3 × 6
102: (10 - 4) + 3 × 6
103: 10 - 4 +(3 × 6)
104: (10 - 4) + (3 × 6)
105: 10 - (4 - 3 × 6)
106: 10 - (4 - (3 × 6))
107: (10 - 4) × 3 + 6
108: ((10 - 4) × 3) + 6
109: (10 + 4 - 6) × 3
110: ((10 + 4) - 6) × 3
111: (10 + (4 - 6)) × 3
112: 10 - 4 + 6 × 3
113: (10 - 4) + 6 × 3
114: 10 - 4 +(6 × 3)
115: (10 - 4) + (6 × 3)
116: 10 - (4 - 6 × 3)
117: 10 - (4 - (6 × 3))
118: 10 + 6 × 3 - 4
119: (10 + 6 × 3) - 4
120: (10 + (6 × 3)) - 4
121: 10 + (6 × 3) - 4
122: 10 + (6 × 3 - 4)
123: 10 + ((6 × 3) - 4)
124: 10 × 6 ÷ 3 + 4
125: (10 × 6) ÷ 3 + 4
126: (10 × 6 ÷ 3) + 4
127: ((10 × 6) ÷ 3) + 4
128: (10 × (6 ÷ 3)) + 4
129: 10 × (6 ÷ 3) + 4
130: (10 - 6 + 4) × 3
131: ((10 - 6) + 4) × 3
132: (10 - (6 - 4)) × 3

Answer 2

3*(4+10-6)=24
3*6+10-4=24

Answer 3

3*6+10-4
3*(10-6+4)

Answer 4

3*6+10-4
3*(10-6+4)