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R.3. Let X = {1, 2, 3, 4} , and suppose f:X→X is a one-to-one function. Prove or disprove: f maps X onto X.

R.3. Let X = {1, 2, 3, 4} , and suppose f:X→X is a one-to-one function. Prove or disprove: f maps X onto X.

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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I need help with this discrete mathematics problem involving proving a one-to-one function

R.3. Let X = {1, 2, 3, 4} , and suppose f:X→X is a one-to-one function. Prove or disprove: f maps X onto X.
Transcribed Image Text:R.3. Let X = {1, 2, 3, 4} , and suppose f:X→X is a one-to-one function. Prove or disprove: f maps X onto X.
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