Question
The number of many one functions from 
is
- 64
- 24
- 40
- 0
Hint:
In this question, the number of onto functions that can be defined from A= {1, 2, 3} and B= {a, b, c, d}. 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: 64
Given, A= {1, 2, 3} and B= {a, b, c, d}
Element A can have an image in 3 ways, i.e., (1, 2, 3)
Similarly, B can have an image in 4 ways.
Thus, total number of ways =4×4×4=64
Element A can have an image in 3 ways, i.e., (1, 2, 3)
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