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Discrete Math: please show me the easiest formula to find Surjective. (Please answer all of them) 1. Write out all functions f: {1, 2, 3} → {a, b} (in two-line notation). How many are surjective?

Discrete Math: please show me the easiest formula to find Surjective. (Please answer all of them) 1. Write out all functions f: {1, 2, 3} → {a, b} (in two-line notation). How many are surjective?

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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Discrete Math
Discrete Math: please show me the easiest formula to find Surjective. (Please answer all of them) 1. Write out all functions f: {1, 2, 3} → {a, b} (in two-line notation). How many are surjective? 2. Write out all functions f : {1, 2} → {a, b, c} (in two-line notation). How many are surjective? 3. Write out all functions f: {1, 2, 3, 4} → {a, b} (in two-line notation). How many are surjective? 4. Write out all functions f: {1, 2, 3, 4, 5} → {a,b, c} (in two-line notation). How many are surjective? 5. Write out all functions f : {1, 2, 3, 4, 5} → {a, b} (in two-line notation). How many are surjective? 6. Write out all functions f: {1, 2, 3, 4, 5} → {a,b, c, d, e} (in two-line notation). How many are surjective?
Transcribed Image Text:Discrete Math: please show me the easiest formula to find Surjective. (Please answer all of them) 1. Write out all functions f: {1, 2, 3} → {a, b} (in two-line notation). How many are surjective? 2. Write out all functions f : {1, 2} → {a, b, c} (in two-line notation). How many are surjective? 3. Write out all functions f: {1, 2, 3, 4} → {a, b} (in two-line notation). How many are surjective? 4. Write out all functions f: {1, 2, 3, 4, 5} → {a,b, c} (in two-line notation). How many are surjective? 5. Write out all functions f : {1, 2, 3, 4, 5} → {a, b} (in two-line notation). How many are surjective? 6. Write out all functions f: {1, 2, 3, 4, 5} → {a,b, c, d, e} (in two-line notation). How many are surjective?
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