If A = {1,2,3,4} and B= {5,6,7}, then number of relations from A to B is equal to
24
23
27
212
If A = {5,6,7} and B= {1,2,3,4} , then number of elements in set AxBxB is equal to
36
48
16
None of these
Let A= {1,2,3} and R= {(1,2), (2,2), (3,1), (3,2)}. Then the domain of R-1 is
{1,2,3}
{2,1}
{1,3}
{2,3}
If m elements are in a set A and n elements are in set B, then number of elements in set AxB is
m
n
mn
less than mn
If (a,b) = (2,3), then (a2+1, b2+2) is equal to
(3,5)
(5,11)
(1,2)
Cartesian product of two sets A and B is Ax B =
{(a,b); a ∈ Aand b ∈ B}
{x; x∈A and B}
{(a,b); a∈B and b∈A}
If A = {2,3} and B = {1,2}, then AxB is equal to
{(2,1), (2,2), (3,1), (3,2)}
{(1,2), (1,3), (2,2), (2,3) }
{(2,2), (3,2)}
{(1,2), (2,3)}
Two finite sets A and B having m and n elements. The total number of relation A to B is 64, then possible values of m and n are.
2 and 4
2 and 3
2 and 1
64 and 1
Let R be a set of real numbers and let S be a relaion defined on R as follows. xSy, iff x2+y2=1.Which one of the following statements is correct?
S is a reflexive relation
S is a symmetric relation
S is a transitive relation
S is an anti-symmetric relation
Domain of the relation {(-3,1) (-1,1) (1,0) (3,0)} is
{-3,-1,-1,3}
{-3,-1,1,3}
{1,1,0}
{1,0}
