Question

A school has 100 students doing extra lessons 36 students were enrolled in mathematics and English, 4 students were enrolled in both subjects. How many students in an extra lesson that does not do either subject. Explain how you got your answer.

Answer 1

60

Explanation:

If a school has 100 students doing extra lessons, then;

n(U) = 100

If 36 students were enrolled in mathematics and English. then;

n(MuE) = 36

If 4 students were enrolled in both subjects, then;

n(MnE) = 4

Let n(MuE)' be those that does not do either subject

hence;

n(U ) = n(MuE) + n(MuE)'

100 = 36 + n(MuE)'

n(MuE)' = 100 - 36

n(MuE)' = 64

Since 4 students were enrolled in both, hence (64-4) i.e 60 does not do either subject.