**Problem 7:**Let \( A = \{a, b, c, d\} \), \( B = \{c, d, e\} \), and \( C = \{f, g, h, i\} \).- **(a)** How many functions are there from \( A \) to \( B \)?- **(b)** How many one-to-one functions are there from \( A \) to \( B \)?- **(c)** How many functions are there from \( A \) to \( C \)?- **(d)** How many one-to-one functions are there from \( A \) to \( C \)?

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Answered: 7. Let A = {a, b, c, d}, B = {c, d, e},…

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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7. Let A = {a, b, c, d}, B = {c, d, e}, and C = {f, g, h, i}. (a) How many functions are there from A to B? (b) How many one-to-one functions are there from A to B? (c) How many functions are there from A to C (d) How many one-to-one functions are there from A to C?