Relations and Functions

If n(A x B) = 6 and A = {1,3} then n(B) is

A = { a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A⋃C) x B] is

If A = { 1,2}, B = {1,2,3,4}, C = {5,6}, D = {5,6,7,8}, which statement is true? Options: (A x C) ⊂ (B x D), (B x D) ⊂ (A x C), (A x B) ⊂ (A x D), (D x A) ⊂ (B x A)

If there are 1024 relations from a set A = {1,2,3,4,5} to a set B, then the number of elements in B is

Range of the relation R = {(x, x^2) / x is a prime number less than 13}

If the ordered pairs (a+2, 4) and (a, 2a+b) are equal, then (a,b) is? Options: (2,-2), (5,1), (2,3), (3,-2)

Total number of non-empty relations from set A to set B, given n(A) = m and n(B) = n.

If { (a,8), (6,b) } represents an identity function, then the value of a and b are respectively.

Function f : A → B given by f = { (1,4), (2,8), (3,9), (4,10) }