If n (A) = 120, n (B) = 250 and n (A – B) = 52 , then find n (A ∪ – InterviewSolution

InterviewSolution

1.

If n (A) = 120, n (B) = 250 and n (A – B) = 52 , then find n (A ∪ Β).

Answer»

n (A – B) = n (A) – n ( A ∩ Β)

⇒ 52 = 120 – n (A ∩ Β )

⇒ n (A ∩ B) = 120 – 52 = 68

Now, n (A ∪ B) = n (A) + n (B) – n ( A ∩ Β)

= 120 + 250 – 68

= 302

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