Question 44

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waecmaths question: 

The venn diagram show the number of students in a class who like reading(R), dancing (D) and swimming (S). How many students like dancing and swimming?

Option A: 

7

Option B: 

9

Option C: 

11

Option D: 

13

waecmaths solution: 

$\begin{align}  & n(D\cap S'\cap R')=3 \\ & n(S'\cap D\cap R)=7 \\ & n(S\cap R\cap D)=2 \\ & n(D\cap S\cap R')=x \\ & n(D)=17 \\ & n(D)=17=2+3+7+x \\ & x=n(D\cap S\cap R')=5 \\ & n(D\cap S)=n(S\cap R\cap D)+n(D\cap S\cap R') \\ & n(D\cap S)=2+5=7 \\\end{align}$

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