Puzzle Quiz 100

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?

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