Question

The number of onto functions that can be defined from A={a,b,c,d,e} to {1,2} is

- 30
- 0
- 60
- 32

Hint:

### In this question, the number of onto functions that can be defined from A= {a, b, c, d, e} to {1,2}. 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: 32

###
Given, $A={a,b,c,d, e}$ and $B={1,2}$

Element $a$ can has an image in 2 ways, i.e., $(1$ or 2).

Similarly, a, $b,c, d$ and e can have an image in 5 ways.

Thus, total number of ways $=2$$×2×2×2×2=32$

Given, $A={a,b,c,d, e}$ and $B={1,2}$

Element $a$ can has an image in 2 ways, i.e., $(1$ or 2).

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