Questions
Let A = {1, 2, 3, 4} and B = {1, 2}. Then, the number of onto functions from A to B is:
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a
8
b
14
c
12
d
None of these
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Correct option is B
Since each element of A can be associated with elements of 8 in two ways, therefore the total number of functions from A to B is 2 × 2 × 2 × 2 = 16. Out of these functions, the functions which are not onto are f (x) = 1, ∀x∈A and f(x)=2∀ x∈A. Thus, the number of onto functions = 16 – 2 = 14.Similar Questions
The total number of 5-digit numbers of different digits in which the digit in the middle is the largest is
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