Question

if x and y are two sets such that n(x)=12 ,n(x-y)=5 and n(xuy)=23 , then the total number of subsets of (xny) is​

Answer 1

Step-by-step explanation:

It is given that:

n(X)=17,n(Y)=23,n(X∪Y)=38

n(X∩Y)=?

Using the formula

n(X∪Y)=n(X)+n(Y)−n(X∩Y)

∴38=17+23−n(X∩Y)

⇒n(X∩Y)=40−38=2

∴n(X∩Y)=2