Number of constant functions

Let A be a set of n distinct elements. Then find the total number of distinct functions from A to A? How many of them are onto functions?

Find the derivative of the constant function f(x)=a for a fixed real number a.

What is the range of the constant function 1 ?

Theorem : (i)Differentiation of a constant function is 0 (ii) Let f(x) be the differentiable function and let c be a constant.Then cf(x) is also differentiable such that d(cf(x))/(dx)=cd((f(x))/(dx)

The function f:C rarr C defined by f(x)=(ax+b)/(cx+d) for x in C where bd!=0 reduces to a constant function if

If A={1,2,3}, B={1,3,5,7,9}, the ratio of number of one-one functions to the number of strictly monotonic functions is ………. .

If function f(x) is defined from set A to B, such that n(A)=3 and n(B)=5 . Then find the number of one-one functions and number of onto functions that can be formed.

Let A be a set of n distinct elements.Then the total number of distinct function from A to A is ( and out of these,)/( functions.)

The number of possible constant functions from A to B, if n(A)=6 and n(B)=4 is