5. Prove the statement: Let X and Y be two finite sets with |X|=m and |Y|=n. If there is a one-to-one function f: X → Y, then m≤n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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5. Prove the statement: Let X and Y be two finite sets with |X|=m and |Y|=n. If there is a
one-to-one function f: X → Y, then m≤n.
Transcribed Image Text:5. Prove the statement: Let X and Y be two finite sets with |X|=m and |Y|=n. If there is a one-to-one function f: X → Y, then m≤n.
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