小学数学题

从2,3,4,5,6,8的扑克牌中选出4张,选用加,减,乘,除和括号计算它们的点数,使结果等于24.共有多少种不同的选法?请给出分析思路,谢谢!!!小学题,不用方程不知那... 从2,3,4,5,6,8的扑克牌中选出4张,选用加,减,乘,除和括号计算它们的点数,使结果等于24.共有多少种不同的选法?

请给出分析思路,谢谢!!!
小学题,不用方程
不知那个是对是错了
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http://zhidao.baidu.com/question/43421589.html?fr=qrl
只要是这几个数字中任选四个的,都可以计算出结果等于24。所以只需要求出有多少种不同的取法。
这是一种组合法,从6个里面任取4个,有6×5÷2=15种
仙剑企鹅
2008-02-07
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上面人太强了。
可以先想24等于4*6,如何凑4和6,已经有6(4)了,而5+3-4等于4
得一答案24=(5+3-4)*6
.......................
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2 3 4 5
: 2 × (3 + 4 + 5)
2: 2 × ((3 + 4) + 5)
3: 2 × (3 + (4 + 5))
4: 2 × (3 + 5 + 4)
5: 2 × ((3 + 5) + 4)
6: 2 × (3 + (5 + 4))
7: 2 × (4 + 3 + 5)
8: 2 × ((4 + 3) + 5)
9: 2 × (4 + (3 + 5))
10: 2 × (4 + 5 + 3)
11: 2 × ((4 + 5) + 3)
12: 2 × (4 + (5 + 3))
13: 2 × (5 + 3 + 4)
14: 2 × ((5 + 3) + 4)
15: 2 × (5 + (3 + 4))
16: 2 × (5 + 4 + 3)
17: 2 × ((5 + 4) + 3)
18: 2 × (5 + (4 + 3))
19: (3 - 2 + 5) × 4
20: ((3 - 2) + 5) × 4
21: (3 - (2 - 5)) × 4
22: (3 + 4 + 5) × 2
23: ((3 + 4) + 5) × 2
24: (3 + (4 + 5)) × 2
25: (3 + 5 - 2) × 4
26: ((3 + 5) - 2) × 4
27: (3 + (5 - 2)) × 4
28: (3 + 5 + 4) × 2
29: ((3 + 5) + 4) × 2
30: (3 + (5 + 4)) × 2
31: 4 × (3 - 2 + 5)
32: 4 × ((3 - 2) + 5)
33: 4 × (3 - (2 - 5))
34: (4 + 3 + 5) × 2
35: ((4 + 3) + 5) × 2
36: (4 + (3 + 5)) × 2
37: 4 × (3 + 5 - 2)
38: 4 × ((3 + 5) - 2)
39: 4 × (3 + (5 - 2))
40: 4 × (5 - 2 + 3)
41: 4 × ((5 - 2) + 3)
42: 4 × (5 - (2 - 3))
43: (4 + 5 + 3) × 2
44: ((4 + 5) + 3) × 2
45: (4 + (5 + 3)) × 2
46: 4 × (5 + 3 - 2)
47: 4 × ((5 + 3) - 2)
48: 4 × (5 + (3 - 2))
49: (5 - 2 + 3) × 4
50: ((5 - 2) + 3) × 4
51: (5 - (2 - 3)) × 4
52: (5 + 3 - 2) × 4
53: ((5 + 3) - 2) × 4
54: (5 + (3 - 2)) × 4
55: (5 + 3 + 4) × 2
56: ((5 + 3) + 4) × 2
57: (5 + (3 + 4)) × 2
58: (5 + 4 + 3) × 2
59: ((5 + 4) + 3) × 2
60: (5 + (4 + 3)) × 2

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

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

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

3 5 6 8
1: 3 × (8 × (6 - 5))
2: 3 × 8 ×(6 - 5)
3: (3 × 8) × (6 - 5)
4: 3 × (8 ÷ (6 - 5))
5: 3 × 8 ÷(6 - 5)
6: (3 × 8) ÷ (6 - 5)
7: (3 × (6 - 5)) × 8
8: 3 × (6 - 5) × 8
9: 3 × ((6 - 5) × 8)
10: (3 ÷ (6 - 5)) × 8
11: 3 ÷ (6 - 5) × 8
12: 3 ÷ ((6 - 5) ÷ 8)
13: 8 × (3 × (6 - 5))
14: 8 × 3 ×(6 - 5)
15: (8 × 3) × (6 - 5)
16: 8 × (3 ÷ (6 - 5))
17: 8 × 3 ÷(6 - 5)
18: (8 × 3) ÷ (6 - 5)
19: (8 ÷ (5 - 3)) × 6
20: 8 ÷ (5 - 3) × 6
21: 8 ÷ ((5 - 3) ÷ 6)
22: 8 × (5 - 6 ÷ 3)
23: 8 × (5 - (6 ÷ 3))
24: (8 × (6 - 5)) × 3
25: 8 × (6 - 5) × 3
26: 8 × ((6 - 5) × 3)
27: 8 × (6 ÷ (5 - 3))
28: 8 × 6 ÷(5 - 3)
29: (8 × 6) ÷ (5 - 3)
30: (8 ÷ (6 - 5)) × 3
31: 8 ÷ (6 - 5) × 3
32: 8 ÷ ((6 - 5) ÷ 3)
33: (5 - 6 ÷ 3) × 8
34: (5 - (6 ÷ 3)) × 8
35: 6 × (8 ÷ (5 - 3))
36: 6 × 8 ÷(5 - 3)
37: (6 × 8) ÷ (5 - 3)
38: (6 - 5) × 3 × 8
39: ((6 - 5) × 3) × 8
40: (6 - 5) × (3 × 8)
41: (6 ÷ (5 - 3)) × 8
42: 6 ÷ (5 - 3) × 8
43: 6 ÷ ((5 - 3) ÷ 8)
44: (6 - 5) × 8 × 3
45: ((6 - 5) × 8) × 3
46: (6 - 5) × (8 × 3)

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

参考资料: http://www.dffy.com/tool/24.htm

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2 3 4 5
: 2 × (3 + 4 + 5)
2: 2 × ((3 + 4) + 5)
3: 2 × (3 + (4 + 5))
4: 2 × (3 + 5 + 4)
5: 2 × ((3 + 5) + 4)
6: 2 × (3 + (5 + 4))
7: 2 × (4 + 3 + 5)
8: 2 × ((4 + 3) + 5)
9: 2 × (4 + (3 + 5))
10: 2 × (4 + 5 + 3)
11: 2 × ((4 + 5) + 3)
12: 2 × (4 + (5 + 3))
13: 2 × (5 + 3 + 4)
14: 2 × ((5 + 3) + 4)
15: 2 × (5 + (3 + 4))
16: 2 × (5 + 4 + 3)
17: 2 × ((5 + 4) + 3)
18: 2 × (5 + (4 + 3))
19: (3 - 2 + 5) × 4
20: ((3 - 2) + 5) × 4
21: (3 - (2 - 5)) × 4
22: (3 + 4 + 5) × 2
23: ((3 + 4) + 5) × 2
24: (3 + (4 + 5)) × 2
25: (3 + 5 - 2) × 4
26: ((3 + 5) - 2) × 4
27: (3 + (5 - 2)) × 4
28: (3 + 5 + 4) × 2
29: ((3 + 5) + 4) × 2
30: (3 + (5 + 4)) × 2
31: 4 × (3 - 2 + 5)
32: 4 × ((3 - 2) + 5)
33: 4 × (3 - (2 - 5))
34: (4 + 3 + 5) × 2
35: ((4 + 3) + 5) × 2
36: (4 + (3 + 5)) × 2
37: 4 × (3 + 5 - 2)
38: 4 × ((3 + 5) - 2)
39: 4 × (3 + (5 - 2))
40: 4 × (5 - 2 + 3)
41: 4 × ((5 - 2) + 3)
42: 4 × (5 - (2 - 3))
43: (4 + 5 + 3) × 2
44: ((4 + 5) + 3) × 2
45: (4 + (5 + 3)) × 2
46: 4 × (5 + 3 - 2)
47: 4 × ((5 + 3) - 2)
48: 4 × (5 + (3 - 2))
49: (5 - 2 + 3) × 4
50: ((5 - 2) + 3) × 4
51: (5 - (2 - 3)) × 4
52: (5 + 3 - 2) × 4
53: ((5 + 3) - 2) × 4
54: (5 + (3 - 2)) × 4
55: (5 + 3 + 4) × 2
56: ((5 + 3) + 4) × 2
57: (5 + (3 + 4)) × 2
58: (5 + 4 + 3) × 2
59: ((5 + 4) + 3) × 2
60: (5 + (4 + 3)) × 2

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

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

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

3 5 6 8
1: 3 × (8 × (6 - 5))
2: 3 × 8 ×(6 - 5)
3: (3 × 8) × (6 - 5)
4: 3 × (8 ÷ (6 - 5))
5: 3 × 8 ÷(6 - 5)
6: (3 × 8) ÷ (6 - 5)
7: (3 × (6 - 5)) × 8
8: 3 × (6 - 5) × 8
9: 3 × ((6 - 5) × 8)
10: (3 ÷ (6 - 5)) × 8
11: 3 ÷ (6 - 5) × 8
12: 3 ÷ ((6 - 5) ÷ 8)
13: 8 × (3 × (6 - 5))
14: 8 × 3 ×(6 - 5)
15: (8 × 3) × (6 - 5)
16: 8 × (3 ÷ (6 - 5))
17: 8 × 3 ÷(6 - 5)
18: (8 × 3) ÷ (6 - 5)
19: (8 ÷ (5 - 3)) × 6
20: 8 ÷ (5 - 3) × 6
21: 8 ÷ ((5 - 3) ÷ 6)
22: 8 × (5 - 6 ÷ 3)
23: 8 × (5 - (6 ÷ 3))
24: (8 × (6 - 5)) × 3
25: 8 × (6 - 5) × 3
26: 8 × ((6 - 5) × 3)
27: 8 × (6 ÷ (5 - 3))
28: 8 × 6 ÷(5 - 3)
29: (8 × 6) ÷ (5 - 3)
30: (8 ÷ (6 - 5)) × 3
31: 8 ÷ (6 - 5) × 3
32: 8 ÷ ((6 - 5) ÷ 3)
33: (5 - 6 ÷ 3) × 8
34: (5 - (6 ÷ 3)) × 8
35: 6 × (8 ÷ (5 - 3))
36: 6 × 8 ÷(5 - 3)
37: (6 × 8) ÷ (5 - 3)
38: (6 - 5) × 3 × 8
39: ((6 - 5) × 3) × 8
40: (6 - 5) × (3 × 8)
41: (6 ÷ (5 - 3)) × 8
42: 6 ÷ (5 - 3) × 8
43: 6 ÷ ((5 - 3) ÷ 8)
44: (6 - 5) × 8 × 3
45: ((6 - 5) × 8) × 3
46: (6 - 5) × (8 × 3)

4 5 6 8
1: (4 + 5 - 6) × 8
2: ((4 + 5) - 6) × 8
3: (4 + (5 - 6)) × 8
4: (4 - 6 + 5) × 8
5: ((4 - 6) + 5) × 8
6: (4 - (6 - 5)) × 8
7: (5 + 4 - 6) × 8
8: ((5 + 4) - 6) × 8
9: (5 + (4 - 6)) × 8
10: (5 - 6 + 4) × 8
11: ((5 - 6) + 4) × 8
12: (5 - (6 - 4)) × 8
13: 8 × (4 + 5 - 6)
14: 8 × ((4 + 5) - 6)
15: 8 × (4 + (5 - 6))
16: 8 × (4 - 6 + 5)
17: 8 × ((4 - 6) + 5)
18: 8 × (4 - (6 - 5))
19: 8 × (5 + 4 - 6)
20: 8 × ((5 + 4) - 6)
21: 8 × (5 + (4 - 6))
22: 8 × (5 - 6 + 4)
23: 8 × ((5 - 6) + 4)
24: 8 × (5 - (6 - 4))
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2008-02-06
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