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25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both…

By inclusion-exclusion, at least 15+17-10=22 of the 25 persons play hockey or football, so 25-22=3 play neither game.

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25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is

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Correct answer D

By inclusion-exclusion, at least 15+17-10=22 of the 25 persons play hockey or football, so 25-22=3 play neither game.

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