A function is defined by mapping f : A -> B such that A contains m elements and B contains n elements and m>n then number of one one functions are ________(a) ^nCm x m!(b) ^nCm x n!(c) 0(d) none of the mentionedI had been asked this question during an internship interview.My query is from Number of Functions topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

A function is defined by mapping f : A -> B such that A contains m ele

1.	A function is defined by mapping f : A -> B such that A contains m elements and B contains n elements and m>n then number of one one functions are ________(a) ^nCm x m!(b) ^nCm x n!(c) 0(d) none of the mentionedI had been asked this question during an internship interview.My query is from Number of Functions topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (c) 0 Easy explanation: Since for function to be defined every element should have a IMAGE, since m > N atleast one element need to have same image, thus we can’t form any unique images and hence the NUMBER of one one function are ZERO.

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