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17 March, 12:08

How many integer numbers between 0 and 9999 are there that have exactly one digit 1 and exactly one digit 3?

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  1. 17 March, 12:31
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    There are no 1 digit numbers that work.

    There are only 2 2 digit numbers that work.

    There are 7⋅2⋅1+2⋅2⋅8=46 numbers that are 3 digit

    There are 7⋅3⋅2⋅8+2⋅3⋅8⋅8=720 4 digit numbers

    So we have 768 numbers that work
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