The Pigeonhole Principle: Problem 4

Problem: In an opaque bag there are several colored balls: some red, some yellow, some blue. All balls are identical but their coloring. Aaliyah and nine other friends each randomly take out two balls from the sac without looking. There will always at least be two girls with identical combinations of color. Can you explain why?

Key: The five steps to solving Pigeonhole problems! Be careful reading the word problem.

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