If The Function 

For real x, let f (x) = x³ + 5x +1, then

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

The number of surjections from A = {1, 2,...n},onto B = {a, b} is

Let E = {1, 2, 3, 4} and F {1, 2}. Then the number of onto function fromE to F is

Let A and B be two finite sets having m and n elements respectively. Then the total number of mappings from A and B is

The total number of injective mappings from a set with m elements of distinct functions from A to A is

Let A be a set containing 10 distinct elements, then the total number of distinct functions from A to A is

If f (x) = sin x = +cos x, g (x) = x2 – 1, then g (f (x)) is invertible in domain