The relation R is defined by R = {(x : x3 ) : x is a prime number less than 10}.The domain of R is
{2,4,6,8}
{2,3,5,7}
{8,27,125,343}
{1,2,3,4}
Set A has 3 elements and set B has 4 elements. The number of one-one mappings(injections) that can be defined from A to B is.
144
12
24
None of these
If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then the number of relations from A to B is.
29
92
32
29 - 1
Find the values of a and b,if (a - 3, b + 7) = (2, -5) ?
5 and 7
5 and - 12
5 and 12
10 and 12
The relation R defined by R = {(x,x+5) : x ∈ {0,1,2,3,4,5}. The domain of R is
{1,2,3}
{0,1,2,3,4,5}
{5,6,7,8,9,10}
Let A and B be two finite sets having m and n elements respectively. Then the total number of mapping from A to B is.
mn
2mn
nm
The relation R defined by R = {(x,x+5) : x {0,1,2,3,4,5}. The range of R is
{1,2,3,4,5}
{6,7,8,9,10}
{5,6,7,8,9}
Let R be a relation in N defined by R = {(x,y) : x + 2y = 8}.The range of R is.
{2,4,6}
{1,2,3,4,6}
The relation R is defined by R = {(x : x3) : x is a prime number less than 10}. The range of R is
{8,27,125}
{1,8,27,125}
If A ⊆ B and C ⊆ D then A × C ⊆ __________.
B
D
B× D
D× B
