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3. ** Let X, Y be finite sets, and f is a function XY. What can you say about the cardinality if X, Y (a) if f is surjective (b) if f is injective 1 (c) if f is bijective

3. ** Let X, Y be finite sets, and f is a function XY. What can you say about the cardinality if X, Y (a) if f is surjective (b) if f is injective 1 (c) if f is bijective

Advanced Engineering Mathematics
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 3** Let \( X, Y \) be finite sets, and \( f \) is a function \( X \rightarrow Y \). What can you say about the cardinality if \( X, Y \) (a) if \( f \) is surjective (b) if \( f \) is injective (c) if \( f \) is bijective
Transcribed Image Text:**Question 3** Let \( X, Y \) be finite sets, and \( f \) is a function \( X \rightarrow Y \). What can you say about the cardinality if \( X, Y \) (a) if \( f \) is surjective (b) if \( f \) is injective (c) if \( f \) is bijective
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