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3. Let f = {(1, 3), (2, 5), (3, 1), (4, 3), (5, 5)} be a function from the set A = {1, 2, 3, 4, 5} to itself. You must show that the property holds or give a counterexample a) Is f an injection? b) Is f a surjection? c) How many bijections are there from A to A?

3. Let f = {(1, 3), (2, 5), (3, 1), (4, 3), (5, 5)} be a function from the set A = {1, 2, 3, 4, 5} to itself. You must show that the property holds or give a counterexample a) Is f an injection? b) Is f a surjection? c) How many bijections are there from A to A?

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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4. You roll a die with six sides and then you roll a die with 10 sides. How many possible outcomes are there? 5. You draw a card out of a 52 card deck and then draw a second card from the deck without replacement. How many possible outcomes are there? All of the cards in the deck are distinct.
Transcribed Image Text:4. You roll a die with six sides and then you roll a die with 10 sides. How many possible outcomes are there? 5. You draw a card out of a 52 card deck and then draw a second card from the deck without replacement. How many possible outcomes are there? All of the cards in the deck are distinct.
3. Let f = {(1, 3), (2, 5), (3, 1), (4, 3), (5, 5)} be a function from the set A = {1,2, 3, 4, 5} to itself. You must show that the property holds or give a counterexample a) Is f an injection? b) Is f a surjection? c) How many bijections are there from A to A?
Transcribed Image Text:3. Let f = {(1, 3), (2, 5), (3, 1), (4, 3), (5, 5)} be a function from the set A = {1,2, 3, 4, 5} to itself. You must show that the property holds or give a counterexample a) Is f an injection? b) Is f a surjection? c) How many bijections are there from A to A?
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