A woman sent me this puzzle: _/_*_+_*_*_/ _+_*_ = 100. Fill in the blanks with the digits 1 through 9 in any order. From the way it was described to me, ignore the rules of operator precedence, and just perform the operations from left to right. Thus, this works on the simplest of calculators, but will probably fail on some scientific calculators (unless you press = or ENTER after each digit). There are, of course, 362,880 ways to arrange these nine digits, and here are the 199 solutions:
1 1/2*7+5*3*6/ 9+8*4
2 1/2*7+5*6*3/ 9+8*4
3 1/2*8+5*3*6/ 9+7*4
4 1/2*8+5*6*3/ 9+7*4
5 1/3*6+5*2*8/ 7+9*4
6 1/3*6+5*8*2/ 7+9*4
7 1/3*6+7*2*8/ 9+4*5
8 1/3*6+7*8*2/ 9+4*5
9 1/3*8+9*2*6/ 7+5*4
10 1/3*8+9*6*2/ 7+5*4
11 1/3*9+4*2*6/ 7+8*5
12 1/3*9+4*6*2/ 7+8*5
13 1/4*7+2*3*6/ 9+5*8
14 1/4*7+2*6*3/ 9+5*8
15 1/4*8+7*3*6/ 9+2*5
16 1/4*8+7*6*3/ 9+2*5
17 1/6*2+5*3*9/ 8+7*4
18 1/6*2+5*9*3/ 8+7*4
19 1/6*2+7*3*4/ 8+9*5
20 1/6*2+7*4*3/ 8+9*5
21 1/6*8+2*3*9/ 5+7*4
22 1/6*8+2*9*3/ 5+7*4
23 1/9*3+2*6*8/ 7+4*5
24 1/9*3+2*8*6/ 7+4*5
25 1/9*5+8*3*4/ 7+2*6
26 1/9*5+8*4*3/ 7+2*6
27 1/9*6+8*2*3/ 4+7*5
28 1/9*6+8*3*2/ 4+7*5
29 1/9*7+5*2*3/ 4+8*6
30 1/9*7+5*3*2/ 4+8*6
31 1/9*8+2*3*6/ 4+7*5
32 1/9*8+2*6*3/ 4+7*5
33 2/3*5+6*8*9/ 7+4*1
34 2/3*5+6*9*8/ 7+4*1
35 2/4*8+1*3*7/ 9+5*6
36 2/4*8+1*7*3/ 9+5*6
37 2/6*1+5*3*9/ 8+7*4
38 2/6*1+5*9*3/ 8+7*4
39 2/6*1+7*3*4/ 8+9*5
40 2/6*1+7*4*3/ 8+9*5
41 2/6*7+1*3*8/ 5+9*4
42 2/6*7+1*8*3/ 5+9*4
43 2/6*7+3*1*9/ 4+8*5
44 2/6*7+3*9*1/ 4+8*5
45 2/6*9+7*1*3/ 4+5*8
46 2/6*9+7*3*1/ 4+5*8
47 2/8*9+5*1*4/ 3+7*6
48 2/8*9+5*4*1/ 3+7*6
49 2/9*3+8*1*6/ 4+7*5
50 2/9*3+8*6*1/ 4+7*5
51 3/2*5+8*4*9/ 6+7*1
52 3/2*5+8*9*4/ 6+7*1
53 3/2*6+5*1*8/ 7+9*4
54 3/2*6+5*8*1/ 7+9*4
55 3/4*9+2*1*6/ 7+5*8
56 3/4*9+2*6*1/ 7+5*8
57 3/6*7+2*1*8/ 4+9*5
58 3/6*7+2*8*1/ 4+9*5
59 3/6*8+1*2*9/ 5+7*4
60 3/6*8+1*9*2/ 5+7*4
61 3/6*9+2*1*8/ 4+7*5
62 3/6*9+2*8*1/ 4+7*5
63 3/9*1+2*6*8/ 7+4*5
64 3/9*1+2*8*6/ 7+4*5
65 3/9*2+8*1*6/ 4+7*5
66 3/9*2+8*6*1/ 4+7*5
67 3/9*5+2*1*6/ 4+7*8
68 3/9*5+2*6*1/ 4+7*8
69 3/9*6+5*7*8/ 4+2*1
70 3/9*6+5*8*7/ 4+2*1
71 3/9*6+7*1*8/ 4+2*5
72 3/9*6+7*8*1/ 4+2*5
73 3/9*7+5*1*8/ 4+2*6
74 3/9*7+5*8*1/ 4+2*6
75 4/2*7+8*1*3/ 6+9*5
76 4/2*7+8*3*1/ 6+9*5
77 4/2*9+8*1*3/ 6+7*5
78 4/2*9+8*3*1/ 6+7*5
79 4/3*9+2*1*6/ 7+8*5
80 4/3*9+2*6*1/ 7+8*5
81 4/8*7+2*1*6/ 3+9*5
82 4/8*7+2*6*1/ 3+9*5
83 4/8*9+2*1*6/ 3+7*5
84 4/8*9+2*6*1/ 3+7*5
85 5/2*3+8*4*9/ 6+7*1
86 5/2*3+8*9*4/ 6+7*1
87 5/3*2+6*8*9/ 7+4*1
88 5/3*2+6*9*8/ 7+4*1
89 5/3*9+7*1*8/ 4+6*2
90 5/3*9+7*8*1/ 4+6*2
91 5/4*6+8*2*9/ 3+7*1
92 5/4*6+8*9*2/ 3+7*1
93 5/4*7+1*2*3/ 9+6*8
94 5/4*7+1*3*2/ 9+6*8
95 5/6*7+1*3*8/ 4+9*2
96 5/6*7+1*8*3/ 4+9*2
97 5/6*9+3*2*8/ 7+1*4
98 5/6*9+3*8*2/ 7+1*4
99 5/6*9+8*3*4/ 2+7*1
100 5/6*9+8*4*3/ 2+7*1
101 5/9*1+8*3*4/ 7+2*6
102 5/9*1+8*4*3/ 7+2*6
103 5/9*3+2*1*6/ 4+7*8
104 5/9*3+2*6*1/ 4+7*8
105 6/2*3+5*1*8/ 7+9*4
106 6/2*3+5*8*1/ 7+9*4
107 6/2*9+7*1*4/ 8+3*5
108 6/2*9+7*4*1/ 8+3*5
109 6/3*1+5*2*8/ 7+9*4
110 6/3*1+5*8*2/ 7+9*4
111 6/3*1+7*2*8/ 9+4*5
112 6/3*1+7*8*2/ 9+4*5
113 6/3*7+8*1*2/ 4+9*5
114 6/3*7+8*2*1/ 4+9*5
115 6/3*9+8*1*2/ 4+7*5
116 6/3*9+8*2*1/ 4+7*5
117 6/4*5+8*2*9/ 3+7*1
118 6/4*5+8*9*2/ 3+7*1
119 6/9*1+8*2*3/ 4+7*5
120 6/9*1+8*3*2/ 4+7*5
121 6/9*3+5*7*8/ 4+2*1
122 6/9*3+5*8*7/ 4+2*1
123 6/9*3+7*1*8/ 4+2*5
124 6/9*3+7*8*1/ 4+2*5
125 7/2*1+5*3*6/ 9+8*4
126 7/2*1+5*6*3/ 9+8*4
127 7/2*4+8*1*3/ 6+9*5
128 7/2*4+8*3*1/ 6+9*5
129 7/2*8+5*1*6/ 9+3*4
130 7/2*8+5*6*1/ 9+3*4
131 7/3*6+8*1*2/ 4+9*5
132 7/3*6+8*2*1/ 4+9*5
133 7/4*1+2*3*6/ 9+5*8
134 7/4*1+2*6*3/ 9+5*8
135 7/4*5+1*2*3/ 9+6*8
136 7/4*5+1*3*2/ 9+6*8
137 7/4*9+8*2*6/ 3+5*1
138 7/4*9+8*6*2/ 3+5*1
139 7/6*2+1*3*8/ 5+9*4
140 7/6*2+1*8*3/ 5+9*4
141 7/6*2+3*1*9/ 4+8*5
142 7/6*2+3*9*1/ 4+8*5
143 7/6*3+2*1*8/ 4+9*5
144 7/6*3+2*8*1/ 4+9*5
145 7/6*5+1*8*3/ 4+9*2
146 7/8*4+2*1*6/ 3+9*5
147 7/8*4+2*6*1/ 3+9*5
148 7/9*1+5*2*3/ 4+8*6
149 7/9*1+5*3*2/ 4+8*6
150 7/9*3+5*1*8/ 4+2*6
151 7/9*3+5*8*1/ 4+2*6
152 8/2*1+5*3*6/ 9+7*4
153 8/2*1+5*6*3/ 9+7*4
154 8/2*7+5*1*6/ 9+3*4
155 8/2*7+5*6*1/ 9+3*4
156 8/3*1+9*2*6/ 7+5*4
157 8/3*1+9*6*2/ 7+5*4
158 8/4*1+7*3*6/ 9+2*5
159 8/4*1+7*6*3/ 9+2*5
160 8/4*2+1*3*7/ 9+5*6
161 8/4*2+1*7*3/ 9+5*6
162 8/4*9+3*1*6/ 7+2*5
163 8/4*9+3*6*1/ 7+2*5
164 8/6*1+2*3*9/ 5+7*4
165 8/6*1+2*9*3/ 5+7*4
166 8/6*3+1*2*9/ 5+7*4
167 8/6*3+1*9*2/ 5+7*4
168 8/9*1+2*3*6/ 4+7*5
169 8/9*1+2*6*3/ 4+7*5
170 9/2*4+8*1*3/ 6+7*5
171 9/2*4+8*3*1/ 6+7*5
172 9/2*6+7*1*4/ 8+3*5
173 9/2*6+7*4*1/ 8+3*5
174 9/3*1+4*2*6/ 7+8*5
175 9/3*1+4*6*2/ 7+8*5
176 9/3*4+2*1*6/ 7+8*5
177 9/3*4+2*6*1/ 7+8*5
178 9/3*5+7*1*8/ 4+6*2
179 9/3*5+7*8*1/ 4+6*2
180 9/3*6+8*1*2/ 4+7*5
181 9/3*6+8*2*1/ 4+7*5
182 9/4*3+2*1*6/ 7+5*8
183 9/4*3+2*6*1/ 7+5*8
184 9/4*7+8*2*6/ 3+5*1
185 9/4*7+8*6*2/ 3+5*1
186 9/4*8+3*1*6/ 7+2*5
187 9/4*8+3*6*1/ 7+2*5
188 9/6*2+7*1*3/ 4+5*8
189 9/6*2+7*3*1/ 4+5*8
190 9/6*3+2*1*8/ 4+7*5
191 9/6*3+2*8*1/ 4+7*5
192 9/6*5+3*2*8/ 7+1*4
193 9/6*5+3*8*2/ 7+1*4
194 9/6*5+8*3*4/ 2+7*1
195 9/6*5+8*4*3/ 2+7*1
196 9/8*2+5*1*4/ 3+7*6
197 9/8*2+5*4*1/ 3+7*6
198 9/8*4+2*1*6/ 3+7*5
199 9/8*4+2*6*1/ 3+7*5
No decent puzzle composer would poze a problem which has 199 solutions.
Just for somebody who does not have anything to do.
You don't have one , right?
Puzzle Quiz 100
Label:
Lifesupport,
quiz
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