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 .

If P = {4,3,2} and q={5} , form the sets P xx Q and Q xx P are these two products equal ?

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

Let P be a matrix of order 3xx3 such that all the entries in P are from the set {-1,\ 0,\ 1} . Then, the maximum possible value of the determinant of P is ______.

If P(a) denotes the Power set A and A is void set, then n(P(P(P(a)))) is:

A is a set containing n elements. A subset P_1 of A is chosen. The set A is reconstructed by replacing the elements P Next, a of subset P_2 of A is chosen and again the set is reconstructed by replacing the elements of P_2 , In this way, m subsets P_1, P_2....,P_m of A are chosen. The number of ways of choosing P_1,P_2,P_3,P_4...P_m

If P stands for P_(r) then the sum of the series 1 + P_(1) + 2P_(2) + 3P_(3) + …+ nPn is

p(x) =x +2. Find p(1), p (2),p (-1) and p (-2). Which among 1,2,-1 and -2 becomes the zero of p (x) ?

Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx 3 and p xx k , respectively. If n = p, then the order of the matrix 7X-5Z is: