Question

算24点，求有多少种算法

题目：

我想知道下面3道题每道有多少种算法？不要列出来，只求多少种！谢谢

1.6 7 8 9
2.3 6 8 9
3.6 6 7 9

Answer 1

82种

Answer 2

1: 6 × (8 ÷ (9 - 7))
2: 6 × 8 ÷(9 - 7)
3: (6 × 8) ÷ (9 - 7)
4: (6 ÷ (9 - 7)) × 8
5: 6 ÷ (9 - 7) × 8
6: 6 ÷ ((9 - 7) ÷ 8)
7: 8 × (6 ÷ (9 - 7))
8: 8 × 6 ÷(9 - 7)
9: (8 × 6) ÷ (9 - 7)
10: (8 ÷ (9 - 7)) × 6
11: 8 ÷ (9 - 7) × 6
12: 8 ÷ ((9 - 7) ÷ 6)

1: (3 - 8 + 9) × 6
2: ((3 - 8) + 9) × 6
3: (3 - (8 - 9)) × 6
4: (3 + 9 - 8) × 6
5: ((3 + 9) - 8) × 6
6: (3 + (9 - 8)) × 6
7: (3 + 9) × (8 - 6)
8: 6 × (3 - 8 + 9)
9: 6 × ((3 - 8) + 9)
10: 6 × (3 - (8 - 9))
11: 6 × (3 + 9 - 8)
12: 6 × ((3 + 9) - 8)
13: 6 × (3 + (9 - 8))
14: (6 - 9 ÷ 3) × 8
15: (6 - (9 ÷ 3)) × 8
16: 6 × (9 + 3 - 8)
17: 6 × ((9 + 3) - 8)
18: 6 × (9 + (3 - 8))
19: 6 × (9 - 8 + 3)
20: 6 × ((9 - 8) + 3)
21: 6 × (9 - (8 - 3))
22: (8 - 6) × (3 + 9)
23: (8 ÷ (6 - 3)) × 9
24: 8 ÷ (6 - 3) × 9
25: 8 ÷ ((6 - 3) ÷ 9)
26: (8 - 6) × (9 + 3)
27: 8 × (6 - 9 ÷ 3)
28: 8 × (6 - (9 ÷ 3))
29: 8 × (9 ÷ (6 - 3))
30: 8 × 9 ÷(6 - 3)
31: (8 × 9) ÷ (6 - 3)
32: (9 + 3 - 8) × 6
33: ((9 + 3) - 8) × 6
34: (9 + (3 - 8)) × 6
35: (9 + 3) × (8 - 6)
36: (9 ÷ (6 - 3)) × 8
37: 9 ÷ (6 - 3) × 8
38: 9 ÷ ((6 - 3) ÷ 8)
39: (9 - 8 + 3) × 6
40: ((9 - 8) + 3) × 6
41: (9 - (8 - 3)) × 6
42: 9 × (8 ÷ (6 - 3))
43: 9 × 8 ÷(6 - 3)
44: (9 × 8) ÷ (6 - 3)

1: 6 × (6 + 7 - 9)
2: 6 × ((6 + 7) - 9)
3: 6 × (6 + (7 - 9))
4: (6 + 6) × (9 - 7)
5: 6 × (6 - 9 + 7)
6: 6 × ((6 - 9) + 7)
7: 6 × (6 - (9 - 7))
8: 6 × (7 + 6 - 9)
9: 6 × ((7 + 6) - 9)
10: 6 × (7 + (6 - 9))
11: (6 + 7 - 9) × 6
12: ((6 + 7) - 9) × 6
13: (6 + (7 - 9)) × 6
14: 6 × (7 - 9 + 6)
15: 6 × ((7 - 9) + 6)
16: 6 × (7 - (9 - 6))
17: (6 - 9 + 7) × 6
18: ((6 - 9) + 7) × 6
19: (6 - (9 - 7)) × 6
20: (7 + 6 - 9) × 6
21: ((7 + 6) - 9) × 6
22: (7 + (6 - 9)) × 6
23: (7 - 9 + 6) × 6
24: ((7 - 9) + 6) × 6
25: (7 - (9 - 6)) × 6
26: (9 - 7) × (6 + 6)

Answer 3

一.6 7 8 9
1: 6 × (8 ÷ (9 - 7))
2: 6 × 8 ÷(9 - 7)
3: (6 × 8) ÷ (9 - 7)
4: (6 ÷ (9 - 7)) × 8
5: 6 ÷ (9 - 7) × 8
6: 6 ÷ ((9 - 7) ÷ 8)
7: 8 × (6 ÷ (9 - 7))
8: 8 × 6 ÷(9 - 7)
9: (8 × 6) ÷ (9 - 7)
10: (8 ÷ (9 - 7)) × 6
11: 8 ÷ (9 - 7) × 6
12: 8 ÷ ((9 - 7) ÷ 6)
二。3 6 8 9
1: 6 × (3 - 8 + 9)
2: 6 × ((3 - 8) + 9)
3: 6 × (3 - (8 - 9))
4: 6 × (3 + 9 - 8)
5: 6 × ((3 + 9) - 8)
6: 6 × (3 + (9 - 8))
7: (6 - 9 ÷ 3) × 8
8: (6 - (9 ÷ 3)) × 8
9: 6 × (9 + 3 - 8)
10: 6 × ((9 + 3) - 8)
11: 6 × (9 + (3 - 8))
12: 6 × (9 - 8 + 3)
13: 6 × ((9 - 8) + 3)
14: 6 × (9 - (8 - 3))
15: (3 - 8 + 9) × 6
16: ((3 - 8) + 9) × 6
17: (3 - (8 - 9)) × 6
18: (3 + 9 - 8) × 6
19: ((3 + 9) - 8) × 6
20: (3 + (9 - 8)) × 6
21: (3 + 9) × (8 - 6)
22: (8 - 6) × (3 + 9)
23: (8 ÷ (6 - 3)) × 9
24: 8 ÷ (6 - 3) × 9
25: 8 ÷ ((6 - 3) ÷ 9)
26: (8 - 6) × (9 + 3)
27: 8 × (6 - 9 ÷ 3)
28: 8 × (6 - (9 ÷ 3))
29: 8 × (9 ÷ (6 - 3))
30: 8 × 9 ÷(6 - 3)
31: (8 × 9) ÷ (6 - 3)
32: (9 ÷ (6 - 3)) × 8
33: 9 ÷ (6 - 3) × 8
34: 9 ÷ ((6 - 3) ÷ 8)
35: (9 + 3 - 8) × 6
36: ((9 + 3) - 8) × 6
37: (9 + (3 - 8)) × 6
38: (9 + 3) × (8 - 6)
39: 9 × (8 ÷ (6 - 3))
40: 9 × 8 ÷(6 - 3)
41: (9 × 8) ÷ (6 - 3)
42: (9 - 8 + 3) × 6
43: ((9 - 8) + 3) × 6
44: (9 - (8 - 3)) × 6
三、6 6 7 9
1: 6 × (6 + 7 - 9)
2: 6 × ((6 + 7) - 9)
3: 6 × (6 + (7 - 9))
4: (6 + 6) × (9 - 7)
5: 6 × (6 - 9 + 7)
6: 6 × ((6 - 9) + 7)
7: 6 × (6 - (9 - 7))
8: 6 × (7 + 6 - 9)
9: 6 × ((7 + 6) - 9)
10: 6 × (7 + (6 - 9))
11: (6 + 7 - 9) × 6
12: ((6 + 7) - 9) × 6
13: (6 + (7 - 9)) × 6
14: 6 × (7 - 9 + 6)
15: 6 × ((7 - 9) + 6)
16: 6 × (7 - (9 - 6))
17: (6 - 9 + 7) × 6
18: ((6 - 9) + 7) × 6
19: (6 - (9 - 7)) × 6
20: (7 + 6 - 9) × 6
21: ((7 + 6) - 9) × 6
22: (7 + (6 - 9)) × 6
23: (7 - 9 + 6) × 6
24: ((7 - 9) + 6) × 6
25: (7 - (9 - 6)) × 6
26: (9 - 7) × (6 + 6)