Question

# The number of into functions that can be defined from is

- 150
- 0
- 60
- 243

Hint:

### In this question, the number of onto functions that can be defined from. Formula to find the number of onto functions from set A to set B We have to find the number of onto functions from a set A with n number of elements to set B with m number of elements. Total number of functions from A to B = .

## The correct answer is: 243

###
Given, $A={x, y, z, w, t}$ and $B={}$

Element A can have an image in 5 ways, i.e., $(x, y, z, w, t)$

Similarly, B can have an image in 3 ways.

Thus, total number of ways =3×3×3×3×3=243

Given, $A={x, y, z, w, t}$ and $B={}$

Element A can have an image in 5 ways, i.e., $(x, y, z, w, t)$

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