A theater club gives 7 plays one season. Five women in the club are each cast in 3 of the plays. Then some play has at least 3 women in its cast.

Solution


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Copyright © 1996-2018 Alexander Bogomolny

A theater club gives 7 plays one season. Five women in the club are each cast in 3 of the plays. Then some play has at least 3 women in its cast.

Five women each cast in 3 plays makes 15 woman's parts in the 7 plays. Since 15/7>2, some play has at least 3 women in its cast.


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