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Math Help - coins

  1. #1
    Senior Member Sampras's Avatar
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    coins

    In how many different ways can  8 coins be arranged on an  8 \times 8 checkerboard so that no two coins lie in the same row or column?

    So it would be  64 \times 57  \times 52 \times 49 ?
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  2. #2
    Senior Member Sampras's Avatar
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    Quote Originally Posted by Sampras View Post
    In how many different ways can  8 coins be arranged on an  8 \times 8 checkerboard so that no two coins lie in the same row or column?

    So it would be  64 \times 57  \times 52 \times 49 ?
    This would be for a  4 \times 4 board. But is the reasoning correct?
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  3. #3
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  4. #4
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    To summarize, there are 8 possible positions in the first row, 7 in the second, 6 in the third ...

    so 8!
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