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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