(a) How many one-to-one functions are there from a set with four elements to a set with five elements? There are one-to-one functions is choices for where to send the first element of the domain, (b) How many one-to-one functions are there from a set with four elements to a set with three elements? (c) How many one-to-one functions are there from a set with four elements to a set with four elements? choices for where to send the second element of the domain, and so forth. Thus, the total number of (d) How many one-to-one functions are there from a set with four elements to a set with six elements? (e) How many one-to-one functions are there from a set with m elements to a set with n elements, where m s n?

(a) How many one-to-one functions are there from a set with four elements to a set with five elements? There are one-to-one functions is choices for where to send the first element of the domain, (b) How many one-to-one functions are there from a set with four elements to a set with three elements? (c) How many one-to-one functions are there from a set with four elements to a set with four elements? choices for where to send the second element of the domain, and so forth. Thus, the total number of (d) How many one-to-one functions are there from a set with four elements to a set with six elements? (e) How many one-to-one functions are there from a set with m elements to a set with n elements, where m s n?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

in your post, please go through the problem word for word and fill in each bubble. Failure to follow these instructions or any deviation from the steps in the following question will result in a downvote.

(a) How many one-to-one functions are there from a set with four elements to a set with five elements?
There are
one-to-one functions is
choices for where to send the first element of the domain,
(b) How many one-to-one functions are there from a set with four elements to a set with three elements?
(c) How many one-to-one functions are there from a set with four elements to a set with four elements?
(d) How many one-to-one functions are there from a set with four elements to a set with six elements?
choices for where to send the second element of the domain, and so forth. Thus, the total number of
(e) How many one-to-one functions are there from a set with m elements to a set with n elements, where m ≤ n?

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