Let A and B be two finite sets such that n(A – B) = 30, n (A  B) = 180, n(A  B) = 60, find n(B).

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

We have
n(A  B) = n(A – B) + n(A  B) + n(B – A)
180 = 30 + 60 + n(B – A)
 n(B – A) =  90
Now, n(B) = n(B – A) + n(A B)
 n(B) = 90 + 60 = 150

Answered by  | 4th Jun, 2014, 03:23: PM