Consider functions f: {1,2,3, 4} → {a, b, c}. i. How many such functions are there? ii. How many such functions have a single output? iii. How many such functions are surjective (i.e. have all three outputs)? iv. How many such functions have exactly two outputs? (Hint: you can compute this directly, but it may be easier to combine your answers from the previous parts.)
Consider functions f: {1,2,3, 4} → {a, b, c}. i. How many such functions are there? ii. How many such functions have a single output? iii. How many such functions are surjective (i.e. have all three outputs)? iv. How many such functions have exactly two outputs? (Hint: you can compute this directly, but it may be easier to combine your answers from the previous parts.)
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} → {a,b, c}.
i. How many such functions are there?
ii. How many such functions have a single output?
iii. How many such functions are surjective (i.e. have all three outputs)?
iv. How many such functions have exactly two outputs? (Hint: you can compute this directly, but it
may be easier to combine your answers from the previous parts.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F039207b8-632a-4dc4-a3c4-fd77b3c684b4%2F43037e62-d9cd-4def-9045-f2cff55e0433%2F3r1b8p2_processed.png&w=3840&q=75)
Transcribed Image Text:Consider functions f : {1,2,3, 4} → {a,b, c}.
i. How many such functions are there?
ii. How many such functions have a single output?
iii. How many such functions are surjective (i.e. have all three outputs)?
iv. How many such functions have exactly two outputs? (Hint: you can compute this directly, but it
may be easier to combine your answers from the previous parts.)
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