Consider functions [ f: {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5, 6, 7, 8}.] How many functions are there total? Preview How many functions are injective? Preview How many of the injective functions are increasing ? To be increasing means that the outputs get larger as the inputs get larger. Preview

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5, 6, 7, 8}.**

1. How many functions are there total?
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2. How many functions are injective?
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3. How many of the injective functions are increasing? To be increasing means that the outputs get larger as the inputs get larger.
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Transcribed Image Text:**Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5, 6, 7, 8}.** 1. How many functions are there total? - [Input Box] [Preview Button] 2. How many functions are injective? - [Input Box] [Preview Button] 3. How many of the injective functions are increasing? To be increasing means that the outputs get larger as the inputs get larger. - [Input Box] [Preview Button]
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