Solution to There are 70 women in class. Each play at least one game of the following … - Sikademy
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Archangel Macsika

There are 70 women in class. Each play at least one game of the following games; volleyball, basketball, table tennis. 20 play volleyball only,10 play basketball only and 6 play table tennis. 4 play all the games and an equal number play 2 games only. A) Illustration these informations on a Vern diagram. i) Find the number of women who play volleyball.

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Here's the Solution to this Question

Let

N(V\cap B\cap T')=N(V\cap T\cap B')=N(T\cap B\cap V')=x

Given

V(V\cup B\cup T)=70

V(V\cap B\cap T)=4

N(V\cap B'\cap T')=20

N(B\cap V'\cap T')=10N(T\cap V'\cap B')=6


Then


20+10+6+4+3x=70

x=10

N(V)=20+4+10+10=44

44 women play volleyball.


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Question ID: mtid-5-stid-8-sqid-2926-qpid-1625