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Question

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


Correct Answer
A
14
Your Answer
B
16
Your Answer
C
12
Your Answer
D
8

Solution

The correct option is A 14

The number of onto functions from
E = {1, 2, 3, 4} to F = {1, 2}
= Total number of functions which map E to F.
- Number of functions for which map f(x) = 1 and f(x) = 2 for all xϵE=242=14

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