Question 11

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Jambmaths question: 

A bookseller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books, how many customers has he altogether?

Option A: 

30

Option B: 

40

Option C: 

50

Option D: 

60

Jamb Maths Solution: 

$\begin{align}  & n(M)=30 \\ & n(E)=20 \\ & n(M\cap E)=10 \\ & n(M\cap {{E}^{1}})=30-10=20 \\ & n({{M}^{1}}\cap E)=20-10=10 \\ & n(M\cup E)=n(M\cap {{E}^{1}})+n(M\cap {{E}^{1}})+(M\cap E) \\ & n(M\cup E)=20+10+10 \\ & n(M\cup E)=40 \\\end{align}$

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