If P={1,2}, form the set P xx P xx P

If P={a,b,c} and Q={r}, form the sets P xx Q and Q xx P .

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P= {m, n} and Q = {n, m}, then P xx Q= {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A xx B is a non-empty set of ordered pairs (x, y) such that x in A and y in B. (iii) If A={1,2}, B={3,4} then A xx (B cap phi)=phi

If P and Q are any two set then P-Q=

Let P be the set of all subsets of a given set X. Show that uu:P xx P to P given by (A,B) to A uuB and nn:PxxP to P given by (A,B) to A nnB are binary operations on the set P.

Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B ) ? Justify your answer.

Is it true that for any sets A and B, P (A) uuP (B) = P (Auu B) ? Justify your answer.

If A and B are two events such that P(A cup B) = (3)/(4), P(AcapB) =(1)/(2) and P(A) = (2)/(3) , then the value of 12 times of P(B) is -

Express the following sets in Roster method, P={ x:x in R and x^2-5x+4=0 },