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1. 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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  • By: guest on 02 Jun 2017 12.56 am
    Representing the given information in the Venn diagrams, we have Let the number of people who play only hockey = a The number of people who play only football = b Now, a = n(H) - 10 = 15 - 10 = 5 b = n(F) - 10 = 17 - 10 = 7 Clearly, a + b + 10 + n = 25 ⇒ n = 25 - 7 - 5 -10 ⇒ n = 3 ∴ The number of people who do not play neither Hockey nor Football is 3.
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