Let E = {1, 2, 3, 4} And F {1, 2}. Then The Number Of Onto Function FromE to F is

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Question

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

easy

Solution

Correct option is

Total number of functions from When all the elements of E go to 1 then it will be into as 2 is left out. Similarly when all elements go to 2 then 1 is left out. Hence in two cases the function will be into. Thus onto functions will be 16 – 2 = 14.