Let ‘F’ denote the set of all onto functions from A={a1, a2, a3, a – InterviewSolution

1.	Let ‘F’ denote the set of all onto functions from A={a1, a2, a3, a4} to B = {x, y, z}. A function ‘f’ is chosen at random from ‘F’. The probability that f−1{x} consists of exactly one element.
Answer» Let ‘F’ denote the set of all onto functions from $A = {a_{1}, a_{2}, a_{3}, a_{4}}$ to B = {x, y, z}. A function ‘f’ is chosen at random from ‘F’. The probability that $f^{- 1}$ {x} consists of exactly one element.

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