1 2 3 10 这四张牌进过怎样的运算,才能是24,您可以想出几种?

1 2 3 10 这四张牌进过怎样的运算,才能是24,您可以想出几种?
1 2 3 10 这四张牌进过怎样的运算,才能是24,您可以想出几种?

1 2 3 10 这四张牌进过怎样的运算,才能是24,您可以想出几种?
2*10+3+1=24
3*(10*1-2)=24
3*(10-1*2)=24
2*(10+3-1)=24

1: 1 + 2 × 10 + 3
2: (1 + 2 × 10) + 3
3: (1 + (2 × 10)) + 3
4: 1 + (2 × 10) + 3
5: 1 + (2 × 10 + 3)
6: 1 + ((2 × 10) + 3)
7: 1 + 3 + 2 × 10
8: (1 + 3) + 2 × 10
...

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1: 1 + 2 × 10 + 3
2: (1 + 2 × 10) + 3
3: (1 + (2 × 10)) + 3
4: 1 + (2 × 10) + 3
5: 1 + (2 × 10 + 3)
6: 1 + ((2 × 10) + 3)
7: 1 + 3 + 2 × 10
8: (1 + 3) + 2 × 10
9: 1 + (3 + 2 × 10)
10: 1 + (3 + (2 × 10))
11: 1 + 3 +(2 × 10)
12: (1 + 3) + (2 × 10)
13: 1 + 3 + 10 × 2
14: (1 + 3) + 10 × 2
15: 1 + (3 + 10 × 2)
16: 1 + (3 + (10 × 2))
17: 1 + 3 +(10 × 2)
18: (1 + 3) + (10 × 2)
19: 1 × (3 × (10 - 2))
20: 1 × 3 ×(10 - 2)
21: (1 × 3) × (10 - 2)
22: 1 + 10 × 2 + 3
23: (1 + 10 × 2) + 3
24: (1 + (10 × 2)) + 3
25: 1 + (10 × 2) + 3
26: 1 + (10 × 2 + 3)
27: 1 + ((10 × 2) + 3)
28: (1 × 10 - 2) × 3
29: ((1 × 10) - 2) × 3
30: (1 × (10 - 2)) × 3
31: 1 × (10 - 2) × 3
32: 1 × ((10 - 2) × 3)
33: 2 × (3 - 1 + 10)
34: 2 × ((3 - 1) + 10)
35: 2 × (3 - (1 - 10))
36: 2 × (3 + 10 - 1)
37: 2 × ((3 + 10) - 1)
38: 2 × (3 + (10 - 1))
39: 2 × 10 + 1 + 3
40: (2 × 10) + 1 + 3
41: (2 × 10 + 1) + 3
42: ((2 × 10) + 1) + 3
43: 2 × 10 +(1 + 3)
44: (2 × 10) + (1 + 3)
45: 2 × (10 - 1 + 3)
46: 2 × ((10 - 1) + 3)
47: 2 × (10 - (1 - 3))
48: (2 + 10) × (3 - 1)
49: 2 × 10 + 3 + 1
50: (2 × 10) + 3 + 1
51: (2 × 10 + 3) + 1
52: ((2 × 10) + 3) + 1
53: 2 × 10 +(3 + 1)
54: (2 × 10) + (3 + 1)
55: 2 × (10 + 3 - 1)
56: 2 × ((10 + 3) - 1)
57: 2 × (10 + (3 - 1))
58: 3 + 1 + 2 × 10
59: (3 + 1) + 2 × 10
60: 3 + (1 + 2 × 10)
61: 3 + (1 + (2 × 10))
62: 3 + 1 +(2 × 10)
63: (3 + 1) + (2 × 10)
64: (3 - 1) × (2 + 10)
65: 3 + 1 + 10 × 2
66: (3 + 1) + 10 × 2
67: 3 + (1 + 10 × 2)
68: 3 + (1 + (10 × 2))
69: 3 + 1 +(10 × 2)
70: (3 + 1) + (10 × 2)
71: (3 - 1 + 10) × 2
72: ((3 - 1) + 10) × 2
73: (3 - (1 - 10)) × 2
74: (3 - 1) × (10 + 2)
75: 3 × (1 × 10 - 2)
76: 3 × ((1 × 10) - 2)
77: 3 × (1 × (10 - 2))
78: 3 × 1 ×(10 - 2)
79: (3 × 1) × (10 - 2)
80: 3 ÷ 1 ×(10 - 2)
81: (3 ÷ 1) × (10 - 2)
82: 3 ÷ (1 ÷ (10 - 2))
83: 3 + 2 × 10 + 1
84: (3 + 2 × 10) + 1
85: (3 + (2 × 10)) + 1
86: 3 + (2 × 10) + 1
87: 3 + (2 × 10 + 1)
88: 3 + ((2 × 10) + 1)
89: (3 + 10 - 1) × 2
90: ((3 + 10) - 1) × 2
91: (3 + (10 - 1)) × 2
92: 3 × (10 - 1 × 2)
93: 3 × (10 - (1 × 2))
94: 3 × (10 × 1 - 2)
95: 3 × ((10 × 1) - 2)
96: 3 × (10 ÷ 1 - 2)
97: 3 × ((10 ÷ 1) - 2)
98: 3 + 10 × 2 + 1
99: (3 + 10 × 2) + 1
100: (3 + (10 × 2)) + 1
101: 3 + (10 × 2) + 1
102: 3 + (10 × 2 + 1)
103: 3 + ((10 × 2) + 1)
104: (3 × (10 - 2)) × 1
105: 3 × (10 - 2) × 1
106: 3 × (10 - 2 × 1)
107: 3 × ((10 - 2) × 1)
108: 3 × (10 - (2 × 1))
109: (3 × (10 - 2)) ÷ 1
110: 3 × (10 - 2) ÷ 1
111: 3 × (10 - 2 ÷ 1)
112: 3 × ((10 - 2) ÷ 1)
113: 3 × (10 - (2 ÷ 1))
114: (10 - 1 × 2) × 3
115: (10 - (1 × 2)) × 3
116: (10 × 1 - 2) × 3
117: ((10 × 1) - 2) × 3
118: (10 ÷ 1 - 2) × 3
119: ((10 ÷ 1) - 2) × 3
120: (10 - 1 + 3) × 2
121: ((10 - 1) + 3) × 2
122: (10 - (1 - 3)) × 2
123: (10 - 2) × 1 × 3
124: (10 - 2 × 1) × 3
125: ((10 - 2) × 1) × 3
126: (10 - (2 × 1)) × 3
127: (10 - 2) × (1 × 3)
128: (10 - 2) ÷ 1 × 3
129: (10 - 2 ÷ 1) × 3
130: ((10 - 2) ÷ 1) × 3
131: (10 - (2 ÷ 1)) × 3
132: (10 - 2) ÷ (1 ÷ 3)
133: 10 × 2 + 1 + 3
134: (10 × 2) + 1 + 3
135: (10 × 2 + 1) + 3
136: ((10 × 2) + 1) + 3
137: 10 × 2 +(1 + 3)
138: (10 × 2) + (1 + 3)
139: (10 + 2) × (3 - 1)
140: (10 - 2) × 3 × 1
141: ((10 - 2) × 3) × 1
142: (10 - 2) × (3 × 1)
143: (10 - 2) × 3 ÷ 1
144: ((10 - 2) × 3) ÷ 1
145: (10 - 2) × (3 ÷ 1)
146: 10 × 2 + 3 + 1
147: (10 × 2) + 3 + 1
148: (10 × 2 + 3) + 1
149: ((10 × 2) + 3) + 1
150: 10 × 2 +(3 + 1)
151: (10 × 2) + (3 + 1)
152: (10 + 3 - 1) × 2
153: ((10 + 3) - 1) × 2
154: (10 + (3 - 1)) × 2

收起

(10+2)(3-1)=24
(10-2)*3*1
10*2+1+3

最简单的方法 提出一个2 ， 把 3 10 1 弄个12出来 就可以了

1、1*3（10-2）
2、2*10+1+3

1 + 2 × 10 + 3
1 × 3 ×(10 - 2)
(10 - 1 + 3) × 2

2*10+3+1, (10-2)*1*3, 2*(10+3-1),

2*10+1+3
(10-2)*3*1
(10+3-1)*2

每张牌只能用一次么？