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2007 iTest Problems/Problem 49

Revision as of 22:03, 7 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == How many <math>7</math>-element subsets of <math>\{1, 2, 3,\ldots , 14\}</math> are there, the sum of whose elements is divisible by <math>14</math>? == Solution ==")

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Problem

How many $7$ -element subsets of $\{1, 2, 3,\ldots , 14\}$ are there, the sum of whose elements is divisible by $14$ ?

Solution

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