Let P = {x,y,z} and Q = [a,b}. Find the number of relations the can eb defined from P to Q.

Let A = {x, y,z} and B = {1,2}. Find the number of relations from A to B.

The number of relations that can be defined on the set {x,y,z} is:

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.

Let n(P) = 4 and n(Q) = 5. The number of all possible injections from P to Q is :

Let p,qin N and q gt p , the number of solutions of the equation q|sin theta |=p|cos theta| in the interval [0,2pi] is

Let P = {1, 4,9} and Q= {2,4,6}. Write the elements of (P nn Q)xx (P uu Q) . Also find (P xx Q) nn (Q xx P) .

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

Let A = Q xx Q , where Q is the set of all rational numbers and * be a binary operaton on A defined by (a,b) * (c,d) = (ac, ad+b) for all (a,b), (c,d) in A. Then find the identify element of * in A.