Question

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

Solution

Correct option is

nm

Consider an element a it can be assigned to any of the n elements ofB i.e. it has an images. Similarly each of the m elements of A can have nimages in B. Hence the number of mappings is 

SIMILAR QUESTIONS

Q1

 be to functions given by 

Q3

Given 

Q5

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

Q6

 

 

Q7

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

Q8

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

Q9

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

Q10

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