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1970 Canadian MO Problems/Problem 3

Revision as of 04:00, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == A set of balls is given. Each ball is coloured red or blue, and there is at least one of each colour. Each ball weighs either <math>1</math> pound or <math>2</math...")
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Problem

A set of balls is given. Each ball is coloured red or blue, and there is at least one of each colour. Each ball weighs either $1$ pound or $2$ pounds, and there is at least one of each weight. Prove that there are two balls having different weights and different colours.

Solution

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