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1970 Canadian MO Problems/Problem 7

Revision as of 04:02, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Show that from any five integers, not necessarily distinct, one can always choose three of these integers whose sum is divisible by <math>3</math>. == Solution ==")
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Problem

Show that from any five integers, not necessarily distinct, one can always choose three of these integers whose sum is divisible by $3$.

Solution

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