The number of bijective functions (one-one onto) from set A to itself when A contains 106 elements is.
106
1063
106!
2106
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
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
If (2 a - 5, 4) = (9, b + 4),then the values of a and b are
7 and 0
0 and 7
2 and 5
5 and 2
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}
Which of the following is correct?
The relation R {(1, 1), (2, 2), (3, 3)} on a set A = {1, 2, 3} is
Only reflexive
Only symmetric
Only transitive
Reflexive, Symmetric and transitive
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
Let f = {(1, 5), (2, 6), (3, 4)}
g = {(4, 7), (5, 8), (6, 9)}. Then gof is
{(4, 7), (5, 8), (6, 9), (1, 5), (2, 6), (3, 4)}
{ }
{(1, 8), (2,9), (3,7)}
Nonbe 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
Q = (Sinθ + cosθ) which one of the following is the correct range of Q?
-2 ≤ Q
-2 < Q
-√2 ≤ Q ≤√2
-√2 < Q
