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Let X = {1, (b) xm} and Y = {y₁, Yn} be finite sets. Determine the number of one to one functions from X to Y.

Let X = {1, (b) xm} and Y = {y₁, Yn} be finite sets. Determine the number of one to one functions from X to Y.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. Let X = {₁,...,m} and Y = {Y₁, ● Yn} be finite sets. 9 (b) [In both parts, you may use without proof that if there is a bijection from a set A to a set B then |A| = |B|] Determine the number of one to one functions from X to Y.
Transcribed Image Text:3. Let X = {₁,...,m} and Y = {Y₁, ● Yn} be finite sets. 9 (b) [In both parts, you may use without proof that if there is a bijection from a set A to a set B then |A| = |B|] Determine the number of one to one functions from X to Y.
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