Q. 6

If n(U) = 38, n(A) = 16, n(A ∩ B) = 12, n(B’) = 20, find n(A ∪ B).

Class 9th Tamilnadu Board Math Term-I 1. Theory of sets

Answer :

Using the result n(B) + n(B’) = n(U)

n(B) + 20 = 38

n(B) = 38 – 20 = 18

We have, n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

n(A ∪ B) = 16 + 18 – 12

n(A ∪ B) = 34 – 12 = 22

Hence, n(A ∪ B) = 22.

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PREVIOUSIf n(A) = 26, n(B) = 10, n (A ∪ B) = 30, n(A’) = 17, find n(A ∩ B) and n(U).NEXTLet A and B be two finite sets such that n(A – B) = 30, n(A ∪ B) = 180. Find n(B).

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