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Let E={1,2,3,4,} and F={1,2}. Then the n...

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

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The correct Answer is:
14
From E to F, we can define, in all, `2xx2xx2xx2=16` functions (2 options for each element of E) out of which 2 are into, when all the elements of E either map to 1 or to 2. Therefore, Number of onto functions `=16-2=14`
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