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Question

100 students of class 12th opted for Mathematics while 90 students opted for Biology. 170 students opted for Mathematics or Biology. How much students opted for Mathematics and Biology?

A
360
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B
190
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C
20
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D
None of the above
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Solution

The correct option is C 20
Let Abe the set of students who opted Mathematics and B be the set of students who opted Biology.

Given : n(A)=100,n(B)=90,and n(AB)=170

We know that n(AB)=n(A)+n(B)n(AB)
n(AB)=n(A)+n(B)n(AB)
Hence, n(AB)=100+90170
= 20

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