Let A = {1,2,3}, B = {1,3,5}.If relation R from A to B given by {(1,3) (2,5), (3,3)} then R-1 is.
{(3,3),(3,1),(5,3)}
{(1,3),(2,5),(3,3)}
{(1,3),(5,2)}
{(3,1),(5,2),(3,3)}
If A ⊆ B and C ⊆ D then A × C ⊆ __________.
B
D
B× D
D× B
If A = {1, 2, 3} and B = {x, y, z} then the number of injections from A into B is.
3
6
9
27
If A = {1, 2, 3}, B = {x, y}, then the number of functions that can be defined from A into B is
8
12
Let R = {(3,3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3,12) (3,6)} be a relation on the set A = {3, 6, 9, 12}. The relation is.
An equivalence relation
Reflexive and symmetric
Reflexive and transitive
Only reflexive
If n ≥ 2, then the number of onto mappings that can be defined from {1, 2, 3......n} onto {1, 2} is
n2
2n
n2 - 2
2n - 2
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}
None of these
Let R be a set of real numbers and let s be a relation defined on R as follows.
xSy, if and only if x2 + y2 = 1. Which one of the following statement is correct.
S is a reflexive relation
S is a symmetric relation
S is a transitive relation
S is an anti-symmetric relation
R is a relation from {11,12,13} to {8,10,12} defined by y = x - 3 .The relation R-1 is.
{(11,8),(13,10)}
{(8,11),(10,13)}
{(8,11),(9,12),(10,13)}
Let A = {1,2,3} ,B = {a,b,c,d} be two sets and let R = {(1,a),(1,c),(2,d),(2,c)} be a relation from A to B.The domain of R is
{a,b,c,d}
{1,2}
{a,b,c}
