If n(A) = 4 and n(B) = 8, then what can be the maximum number of elements in `A uuB`?

If A and B be two sets containing 6 and 3 elements respectively, what can be the minimum number of elements in AuuB ? Also, find the maximum number of elements in AuuB .

If n(A) = 5 and n (B) = 7, then the number of relations on A*B is

If n(A) = 3 and n(B) = 4, then the number of injective mapping that can be defined from A to B (a)144 (b)12 (c)24 (d)64

Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is

If A, B are two sets, prove that AuuB=(A-B)uu(B-A)uu(AnnB) . Hence or otherwise prove that n(AuuB)=n(A)+n(B)-n(AnnB) where, n(A) denotes the number of elements in A.