First slide
Functions (XII)
Question

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

Easy
Solution

From E to F, we can define, in all 2×2×2×2=16 functions (2 options for each element of D 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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