If A and B are two sets such that n(A) = 100, n(B) = 150 and n(A B) = 50. Find the following values : (i) n(A B) (ii) n(A – B)
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Given : A and B are two sets such that n(A) = 100, n(B) = 150 and n(A ∩ B) = 50.
To Find : the following values : (i) n(A U B) (ii) n(A – B)
Solution:
n(A U B) = n(A) + n(B) - n(A ∩ B)
=> n(A U B) = 100 + 150 - 50
=> n(A U B) = 200
n(A U B) = 200
n(A – B)
= n (A) - n (A ∩ B)
= 100 - 50
= 50
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