A computer science problem by أحمد الحلاق

Computer Science Level 2

Find the remainder when ( 169 13 ) \dbinom {169}{13} is divided by 1 3 5 13^5 .

Notation : ( n k ) = n ! k ! ( n − k ) ! \dbinom nk = \dfrac{n!}{k!(n-k)!} denotes the binomial coefficient .

13 17 7 14 8

أحمد الحلاق by أحمد الحلاق , 28, Palestine

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1 solution

Hasmik Garyaka
Sep 24, 2017

( 169 13 ) \dbinom{169}{13} = 169..../13.... divides 13 but does not divide 169. Remainder 13 for all degrees of 13.

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