1樓：匿名使用者
3, 3, 6, 1的24點答案：
1: 3 + (3 × (6 + 1))2: 3 + 3 ×(6 + 1)
3: 3 × (3 + 6 - 1)
4: 3 × ((3 + 6) - 1)5: 3 × (3 + (6 - 1))6: 3 + (3 × (1 + 6))7: 3 + 3 ×(1 + 6)
8: 3 × (3 - 1 + 6)
9: 3 × ((3 - 1) + 6)10: 3 × (3 - (1 - 6))11: 3 × (6 + 3 - 1)
12: 3 × ((6 + 3) - 1)13: 3 × (6 + (3 - 1))14: 3 + (6 + 1) × 3
15: 3 + ((6 + 1) × 3)16: (3 + 6 - 1) × 3
17: ((3 + 6) - 1) × 318: (3 + (6 - 1)) × 319: (3 × (6 + 1)) + 320: 3 × (6 + 1) + 3
21: 3 × (6 - 1 + 3)
22: 3 × ((6 - 1) + 3)23: 3 × (6 - (1 - 3))24: 3 + (1 + 6) × 3
25: 3 + ((1 + 6) × 3)26: (3 - 1 + 6) × 3
27: ((3 - 1) + 6) × 328: (3 - (1 - 6)) × 329: (3 × (1 + 6)) + 330: 3 × (1 + 6) + 3
31: (6 + 3 - 1) × 3
32: ((6 + 3) - 1) × 333: (6 + (3 - 1)) × 334: (6 + 1) × 3 + 3
35: ((6 + 1) × 3) + 336: (6 - 1 + 3) × 3
37: ((6 - 1) + 3) × 338: (6 - (1 - 3)) × 339: (1 + 6) × 3 + 3
40: ((1 + 6) × 3) + 36, 3, 1, 1的24點答案：
1: (6 × (3 + 1)) × 12: 6 × (3 + 1) × 1
3: 6 × (3 + 1 × 1)
4: 6 × ((3 + 1) × 1)5: 6 × (3 + (1 × 1))6: (6 × (3 + 1)) ÷ 17: 6 × (3 + 1) ÷ 1
8: 6 × (3 + 1 ÷ 1)
9: 6 × ((3 + 1) ÷ 1)10: 6 × (3 + (1 ÷ 1))11: 6 × (3 × 1 + 1)
12: 6 × ((3 × 1) + 1)13: 6 × (3 ÷ 1 + 1)
14: 6 × ((3 ÷ 1) + 1)15: (6 × (1 + 3)) × 116: 6 × (1 + 3) × 1
17: 6 × (1 + 3 × 1)
18: 6 × ((1 + 3) × 1)19: 6 × (1 + (3 × 1))20: (6 × (1 + 3)) ÷ 121: 6 × (1 + 3) ÷ 1
22: 6 × (1 + 3 ÷ 1)
23: 6 × ((1 + 3) ÷ 1)24: 6 × (1 + (3 ÷ 1))25: 6 × (1 × 3 + 1)
26: 6 × ((1 × 3) + 1)27: 6 × (1 × (3 + 1))28: 6 × 1 ×(3 + 1)
29: (6 × 1) × (3 + 1)30: 6 ÷ 1 ×(3 + 1)
31: (6 ÷ 1) × (3 + 1)32: 6 ÷ (1 ÷ (3 + 1))33: (6 + 1 + 1) × 3
34: ((6 + 1) + 1) × 335: (6 + (1 + 1)) × 336: 6 × (1 + 1 × 3)
37: 6 × (1 + (1 × 3))38: 6 × (1 × 1 + 3)
39: 6 × ((1 × 1) + 3)40: 6 × (1 × (1 + 3))41: 6 × 1 ×(1 + 3)
42: (6 × 1) × (1 + 3)43: 6 × (1 ÷ 1 + 3)
44: 6 × ((1 ÷ 1) + 3)45: 6 ÷ 1 ×(1 + 3)
46: (6 ÷ 1) × (1 + 3)47: 6 ÷ (1 ÷ (1 + 3))48: 3 × (6 + 1 + 1)
49: 3 × ((6 + 1) + 1)50: 3 × (6 + (1 + 1))51: (3 + 1) × 6 × 1
52: ((3 + 1) × 6) × 153: (3 + 1) × (6 × 1)54: (3 + 1) × 6 ÷ 1
55: ((3 + 1) × 6) ÷ 156: (3 + 1) × (6 ÷ 1)57: 3 × (1 + 6 + 1)
58: 3 × ((1 + 6) + 1)59: 3 × (1 + (6 + 1))60: (3 + 1) × 1 × 6
61: (3 + 1 × 1) × 6
62: ((3 + 1) × 1) × 663: (3 + (1 × 1)) × 664: (3 + 1) × (1 × 6)65: (3 + 1) ÷ 1 × 6
66: (3 + 1 ÷ 1) × 6
67: ((3 + 1) ÷ 1) × 668: (3 + (1 ÷ 1)) × 669: (3 + 1) ÷ (1 ÷ 6)70: 3 × (1 + 1 + 6)
71: 3 × ((1 + 1) + 6)72: 3 × (1 + (1 + 6))73: (3 × 1 + 1) × 6
74: ((3 × 1) + 1) × 675: (3 ÷ 1 + 1) × 6
76: ((3 ÷ 1) + 1) × 677: 1 × (6 × (3 + 1))78: 1 × 6 ×(3 + 1)
79: (1 × 6) × (3 + 1)80: (1 + 6 + 1) × 3
81: ((1 + 6) + 1) × 382: (1 + (6 + 1)) × 383: 1 × (6 × (1 + 3))84: 1 × 6 ×(1 + 3)
85: (1 × 6) × (1 + 3)86: (1 + 3) × 6 × 1
87: ((1 + 3) × 6) × 188: (1 + 3) × (6 × 1)89: (1 + 3) × 6 ÷ 1
90: ((1 + 3) × 6) ÷ 191: (1 + 3) × (6 ÷ 1)92: (1 + 3) × 1 × 6
93: (1 + 3 × 1) × 6
94: ((1 + 3) × 1) × 695: (1 + (3 × 1)) × 696: (1 + 3) × (1 × 6)97: (1 + 3) ÷ 1 × 6
98: (1 + 3 ÷ 1) × 6
99: ((1 + 3) ÷ 1) × 6100: (1 + (3 ÷ 1)) × 6101:
(1 + 3) ÷ (1 ÷ 6)102: (1 × 3 + 1) × 6103: ((1 × 3) + 1) × 6104:
(1 × (3 + 1)) × 6105: 1 × (3 + 1) × 6106: 1 × ((3 + 1) × 6)107:
(1 + 1 + 6) × 3108: ((1 + 1) + 6) × 3109: (1 + (1 + 6)) × 3110:
(1 + 1 × 3) × 6111: (1 + (1 × 3)) × 6112: (1 × 1 + 3) × 6113:
((1 × 1) + 3) × 6114: (1 × (1 + 3)) × 6115: 1 × (1 + 3) × 6116:
1 × ((1 + 3) × 6)117: (1 ÷ 1 + 3) × 6118: ((1 ÷ 1) + 3) × 63, 3, 8, 1的24點答案：
1: 3 + (3 × (8 - 1))2: 3 + 3 ×(8 - 1)
3: 3 - (3 × (1 - 8))4: 3 - 3 ×(1 - 8)
5: 3 + (8 - 1) × 3
6: 3 + ((8 - 1) × 3)7: (3 × (8 + 1)) - 38: 3 × (8 + 1) - 3
9: (3 × (8 - 1)) + 310: 3 × (8 - 1) + 3
11: 3 - (1 - 8) × 3
12: 3 - ((1 - 8) × 3)13: (3 × (1 + 8)) - 314: 3 × (1 + 8) - 3
15: (8 + 1) × 3 - 3
16: ((8 + 1) × 3) - 317: (8 - 1) × 3 + 3
18: ((8 - 1) × 3) + 319: (1 + 8) × 3 - 3
20: ((1 + 8) × 3) - 33, 7, 1, 1的24點答案：
1: (3 × (7 + 1)) × 12: 3 × (7 + 1) × 1
3: 3 × (7 + 1 × 1)
4: 3 × ((7 + 1) × 1)5: 3 × (7 + (1 × 1))6: (3 × (7 + 1)) ÷ 17: 3 × (7 + 1) ÷ 1
8: 3 × (7 + 1 ÷ 1)
9: 3 × ((7 + 1) ÷ 1)10: 3 × (7 + (1 ÷ 1))11: 3 × (7 × 1 + 1)
12: 3 × ((7 × 1) + 1)13: 3 × (7 ÷ 1 + 1)
14: 3 × ((7 ÷ 1) + 1)15: (3 + 1) × (7 - 1)16: (3 × (1 + 7)) × 117: 3 × (1 + 7) × 1
18: 3 × (1 + 7 × 1)
19: 3 × ((1 + 7) × 1)20: 3 × (1 + (7 × 1))21: (3 × (1 + 7)) ÷ 122: 3 × (1 + 7) ÷ 1
23: 3 × (1 + 7 ÷ 1)
24: 3 × ((1 + 7) ÷ 1)25: 3 × (1 + (7 ÷ 1))26: 3 × (1 × 7 + 1)
27: 3 × ((1 × 7) + 1)28: 3 × (1 × (7 + 1))29: 3 × 1 ×(7 + 1)
30: (3 × 1) × (7 + 1)31: 3 ÷ 1 ×(7 + 1)
32: (3 ÷ 1) × (7 + 1)33: 3 ÷ (1 ÷ (7 + 1))34: 3 × (1 + 1 × 7)
35: 3 × (1 + (1 × 7))36: 3 × (1 × 1 + 7)
37: 3 × ((1 × 1) + 7)38: 3 × (1 × (1 + 7))39: 3 × 1 ×(1 + 7)
40: (3 × 1) × (1 + 7)41: 3 × (1 ÷ 1 + 7)
42: 3 × ((1 ÷ 1) + 7)43: 3 ÷ 1 ×(1 + 7)
44: (3 ÷ 1) × (1 + 7)45: 3 ÷ (1 ÷ (1 + 7))46: (7 + 1) × 3 × 1
47: ((7 + 1) × 3) × 148: (7 + 1) × (3 × 1)49: (7 + 1) × 3 ÷ 1
50: ((7 + 1) × 3) ÷ 151: (7 + 1) × (3 ÷ 1)52: (7 - 1) × (3 + 1)53: (7 + 1) × 1 × 3
54: (7 + 1 × 1) × 3
55: ((7 + 1) × 1) × 356: (7 + (1 × 1)) × 357: (7 + 1) × (1 × 3)58: (7 + 1) ÷ 1 × 3
59: (7 + 1 ÷ 1) × 3
60: ((7 + 1) ÷ 1) × 361: (7 + (1 ÷ 1)) × 362:
(7 + 1) ÷ (1 ÷ 3)63: (7 - 1) × (1 + 3)64: (7 × 1 + 1) × 3
65: ((7 × 1) + 1) × 366: (7 ÷ 1 + 1) × 3
67: ((7 ÷ 1) + 1) × 368: (1 + 3) × (7 - 1)69: 1 × (3 × (7 + 1))70: 1 × 3 ×(7 + 1)
71: (1 × 3) × (7 + 1)72: 1 × (3 × (1 + 7))73: 1 × 3 ×(1 + 7)
74: (1 × 3) × (1 + 7)75: (1 + 7) × 3 × 1
76: ((1 + 7) × 3) × 177: (1 + 7) × (3 × 1)78: (1 + 7) × 3 ÷ 1
79: ((1 + 7) × 3) ÷ 180: (1 + 7) × (3 ÷ 1)81: (1 + 7) × 1 × 3
82: (1 + 7 × 1) × 3
83: ((1 + 7) × 1) × 384: (1 + (7 × 1)) × 385: (1 + 7) × (1 × 3)86: (1 + 7) ÷ 1 × 3
87: (1 + 7 ÷ 1) × 3
88: ((1 + 7) ÷ 1) × 389: (1 + (7 ÷ 1)) × 390: (1 + 7) ÷ (1 ÷ 3)91: (1 × 7 + 1) × 3
92: ((1 × 7) + 1) × 393: (1 × (7 + 1)) × 394: 1 × (7 + 1) × 3
95: 1 × ((7 + 1) × 3)96: (1 + 1 × 7) × 3
97: (1 + (1 × 7)) × 398: (1 × 1 + 7) × 3
99: ((1 × 1) + 7) × 3100: (1 × (1 + 7)) × 3101:
1 × (1 + 7) × 3102: 1 × ((1 + 7) × 3)103: (1 ÷ 1 + 7) × 3104:
((1 ÷ 1) + 7) × 33, 1, 1, 9的24點答案：
1: 3 × (1 × 9 - 1)
2: 3 × ((1 × 9) - 1)3: 3 × (1 × (9 - 1))4: 3 × 1 ×(9 - 1)
5: (3 × 1) × (9 - 1)6: 3 ÷ 1 ×(9 - 1)
7: (3 ÷ 1) × (9 - 1)8: 3 ÷ (1 ÷ (9 - 1))9:
(3 + 9) × (1 + 1)10: (3 × (9 - 1)) × 111: 3 × (9 - 1) × 1
12: 3 × (9 - 1 × 1)
13: 3 × ((9 - 1) × 1)14: 3 × (9 - (1 × 1))15: (3 × (9 - 1)) ÷ 116: 3 × (9 - 1) ÷ 1
17: 3 × (9 - 1 ÷ 1)
18: 3 × ((9 - 1) ÷ 1)19: 3 × (9 - (1 ÷ 1))20: 3 × (9 × 1 - 1)
21: 3 × ((9 × 1) - 1)22: 3 × (9 ÷ 1 - 1)
23: 3 × ((9 ÷ 1) - 1)24: 1 × (3 × (9 - 1))25: 1 × 3 ×(9 - 1)
26: (1 × 3) × (9 - 1)27: (1 + 1) × (3 + 9)28: (1 + 1) × (9 + 3)29: (1 × 9 - 1) × 3
30: ((1 × 9) - 1) × 331: (1 × (9 - 1)) × 332: 1 × (9 - 1) × 3
33: 1 × ((9 - 1) × 3)34: (9 + 3) × (1 + 1)35: (9 - 1) × 3 × 1
36: ((9 - 1) × 3) × 137: (9 - 1) × (3 × 1)38: (9 - 1) × 3 ÷ 1
39: ((9 - 1) × 3) ÷ 140: (9 - 1) × (3 ÷ 1)41: (9 - 1) × 1 × 3
42: (9 - 1 × 1) × 3
43: ((9 - 1) × 1) × 344: (9 - (1 × 1)) × 345: (9 - 1) × (1 × 3)46: (9 - 1) ÷ 1 × 3
47: (9 - 1 ÷ 1) × 3
48: ((9 - 1) ÷ 1) × 349: (9 - (1 ÷ 1)) × 350: (9 - 1) ÷ (1 ÷ 3)51: (9 × 1 - 1) × 3
52: ((9 × 1) - 1) × 353: (9 ÷ 1 - 1) × 3
54: ((9 ÷ 1) - 1) × 3
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