**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.**

The **Answer to the Question**

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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')=10$$N(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.