Set A containing 4 elements .How many injective functions from A to itself formed?

If the set A contains 7 elements and the set B contains 10 elements,then the number of one- one functions from A to B is

Set A contain 3 elements , set B contain 5 elements , number of one-one function from A to B is "x" and number of one-one functions from A to AxxB is "y" then relation between x and y

Number of bijective function from a set of 10 elements to itself is

How many functions can be defined from a set A containing 5 elements to a set B having 3 elements ? How many of these are surjective functions ?

How many functions can be defined from a set A containing 5 elements to a set B having 3 elements? How many of these are surjective functions?

Set A has m distinct elements and set B has n distinct elements. Then how many different mappings from set A to set B can be formed?