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19 October, 12:38

Stind ca n! = 1*2*3 * ... n sa se arate ca nr 13!-11! se divide cu 31

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  1. 19 October, 16:34
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    Hello:

    13! = 13*12 * 11!

    13!-11! = (13*12*11!) - 11!

    = 11! (13*12 - 1)

    =11! (156 - 1)

    = 11! (155)

    = 11! (31*5)

    13!-11! = 31 (11!*5)

    so : 13!-11! se divide cu 31
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