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
Langganan:
Posting Komentar (Atom)
Favorites
-
Top Sites Google google.com Enables users to search the Web, Usenet, and images. Features include PageRan...
-
Nancy R. Schiff/Hulton Archive/Getty Images #67 Harold Simmons ...
-
Originally native to southern Mexico and now cultivated in many tropical countries (including Brazil , India , Indonesia , South Africa , Vi...
-
The £2.5million motorway smash involving 8 Ferraris, 3 Mercedes, a Lamborghini, a Skyline and a humble Toyota Prius (which was in the wrong ...
-
Plitvice Lakes (Croatia) : Sixteen Lakes interconnected by Spectacular Waterfalls The Plitvice Lakes are a series of sixteen la...
-
By Liz Thomas Sporting pigtails and a pinafore she may look like a typical ten year-old school girl but when she opens her mouth she trans...
-
Yurika Mauno – Young japanese girl killed in Romania Yurika Mauno – Young japanese girl killed in Romania ...
-
PORK IN SCHOOL CANTEENS A REAL MAYOR WHO REFUSES TO REMOVE PORK FROM THE SCHOOL CANTEENS EXPLAINS WHY Muslim parents demanded the abolit...
-
Spooky, mummy It Looks Opening and Closing eyes Creepy mummy figure in Sicily has been the subject of speculation for many years. In a ...
-
Nudity doesn't bother Liu Yi Fei in The Assassins CHINA: Chinese actress-singer Liu Yi Fei, also known as Crystal Liu, has st...
Tidak ada komentar:
Posting Komentar