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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.

Respuesta :

Answer:

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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