The number of bijective functions from the set A to itsef, if A contains 108 elements is

The number of bijective functions from A to B if n(A)=n(B)=4

Let L denotes the number of subjective functions f : A -> B , where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8 . The value of (LM+N) is lambda , then the value of lambda/19 is

Fill in the blank: The total number of injective functions that can be defined form a set A contaiing n distinct elements onto itself is _______.

If n(A)=4, n(B)=5 and number of functions from A to B such that range contains exactly 3 elements is k, k/(60) is ………. .

Find the number of all onto functions formthe set {1,2,3,….,n} to itself.

Find the number of all one-one functions from set A = {1, 2, 3} to itself.

Let A be a finite set. Then, each injective function from A into itself is not surjective.

The number of elements of the power set of a set containing n elements is

If f is a function from a set A to A, then f is invertible iff f is