Suppose n > m. Let S be the collection of all functions from [n] to [m]. We randomly pick a function f from S. Define event A = {f is surjective}. (1). Find P[A] (2). What is the limit of P[A] as n →∞ and m is fixed?
Suppose n > m. Let S be the collection of all functions from [n] to [m]. We randomly pick a function f from S. Define event A = {f is surjective}. (1). Find P[A] (2). What is the limit of P[A] as n →∞ and m is fixed?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose n > m. Let S be the collection of all
pick a function f from S. Define
(1). Find P[A]
(2). What is the limit of P[A] as n →∞ and m is fixed?
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