A and B are two sets containing respectively `m_1` and `m_2` elements. If `x le n(A uu B) le y`, find x and y.

If A and B are finite sets containing respectivley m and n elements, then find the number of relatiosn that can be defined form A to B.

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2),(z, 1) are in A xx B , find A and B. where x, y and z are distinct elements.

If X and Y are two sets such that X has 40 elements, X uu Y has 60 elements and X nn Y has 10 elements, how many elements does Y have?

If X and Y are two sets such that X uu Y has 18 elements, X has 8 elements andY has 15 elements , how many elements does X nn Y have?

If X and Y are two sets such that X uu Y has 50 elements, X has 28 elements and Y has 32 elements, how many elements does X nn Y have ?

If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n(X uu Y) = 38 , find n(X nn Y) .

If A and B are two sets such that : n(A)=17, n (A uu B)=38 and n (A nn B)=2 . Find: n (B), n (A - B) and n (B - A).

Let X be a set containing n elements. Two subsets A and B of X are chosen at random, the probability that AuuB=X is