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What is A ∪ B for two mutually exclusive sets A and B?(a) n (A) + n (B)(b) n (A) – n (B)(c) n (B) – n (A)(d) n (A) * n (B)I had been asked this question in an interview for job.This question is from Practical Problems on Union and Intersection of Two Sets in portion Sets of Mathematics – Class 11

Answer» RIGHT option is (a) N (A) + n (B)

For explanation: We know, n (A ∪ B) = n (A) + n (B) – n (A ∩ B).

For mutually EXCLUSIVE SETS A ∩ B=Φ i.e. n (A ∩ B)=0.

n (A ∪ B) = n (A) + n (B).


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