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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

A
14
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B
16
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C
12
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D
8
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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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