If A and B are any two sets, then prove that `A - B = A nn B^c`

If A and B are any two sets, prove that : A-B =A nn B^(c) .

If A and B are any two sets, prove that : (A-B) uu B =A uu B .

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

If A, B and C are any three sets, then prove that : A nn (B Delta C) = (A nn B) Delta (A nn C) .

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

If A and B are two sets, then A nn (A uu B) equals

Let A and B be two sets. Prove that : (A -B) uu B= A if and only if B sub A .

If A and B are subsets of a set X, then what is : (A nn (X -B))uu B equal to

If A and B are two sets such that A uu B has 20 elements, A has 8 elements and B has 16 elements, how many elements does A nn B have ?