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Let set A={1,2,3,...,n}, and let set X be the collection of all the functions from A to A. We randomly pick a function f
Let set A={1,2,3,...,n}, and let set X be the collection of all the functions from A to A. We randomly pick a function f from X. (1). What is the probability that f is injective? (2). What is the probability that 2 is not in the range of f? What is the limit of this porbability as n o?
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1To determine whether a function is injective we need to check if it maps distinct elements of the d...
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Discrete and Combinatorial Mathematics An Applied Introduction
Authors: Ralph P. Grimaldi
5th edition
201726343, 978-0201726343
