If A = {1, 2, 3} and B = {4, 5}, find AxxB , BxxA and show that AxxBneBxxA .

Let A = {p, q, r,s}, B = {p, q, r} and C = {q, s}. Find all sets X such that : X sub B and X sub C

Let A = {p, q, r,s}, B = {p, q, r} and C = {q, s}. Find all sets X such that : X sub A and X cancel (sub) B .

If P = {a, b,c } and Q= {r}, form the sets P xx Q and QxxP . Are these two Products equal ?

If P(A) = 0 , P(B) = 1/3 then find P(B/A) .

If A={3,5},B={2,4,6}. Find n(BxxA)

Let A = (a,b,c) and B = (p,q,r) and a function f : A rarrB be given by f = ((a,q), b,r), (c,p)) Is f invertible ? If so, find f^-1 and verify that f^-1 of = I_A and f of^-1 = I_B where I_A and I_B are identity fucnctions on A and B respectively.

If A xx B = {(p, q), (p, r), (m, q),(m, r)} , find A and B.

If A = [[a,b,c],[x,y,z],[p,q,r]], B= [[q , -b,y],[-p,a,-x],[r,-c,z]] and if A is invertible, then which of the following is not true?

If A and B are independent events, P(A) = 0.3 and P (B) = 0.4 then find P(A cup B), P(A/B) and P(B/A) .