Question

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 UB)
(ii) n(A – B) ​

Answer 1

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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