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18 October, 13:30

Of the 3737 people at a basketball team party, 2525 of them play basketball, 1515 are under six feet tall, and 5 do not play basketball and are six feet or taller. Determine the number of people at the party who play basketball and are under six feet tall, |B∩?||B∩U|, where BB represents the set of people at the party who play basketball and? U represents the set of people at the party who are under six feet tall.

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  1. 18 October, 16:34
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    8

    Step-by-step explanation:

    Universal Set, U=37

    Number who play basketball, n (B) = 25

    Number who are under six feet, n (U) = 15

    Number of those who do not play basketball and are six feet or taller, n (B∪U) '=5

    From set theory.

    U=n (B) + n (U) - n (B∩U) + n (B∪U) '

    37=25+15-n (B∩U) + 5

    37=45-n (B∩U)

    Therefore:

    n (B∩U) = 45-37=8

    Therefore, the number of people at the party who play basketball and are under six feet tall is 8.
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