3. Let A and B be finite sets with |A| = m and |B| = n. a) How many functions are there from A to B? b) Suppose that m < n. How many injective functions are there from A to B? How about if m>n? c) Suppose n = 2. How many surjective functions are there from A to B? d) (Harder) Suppose n = 3. How many surjective functions are there from A to B?

3. Let A and B be finite sets with |A| = m and |B| = n. a) How many functions are there from A to B? b) Suppose that m < n. How many injective functions are there from A to B? How about if m>n? c) Suppose n = 2. How many surjective functions are there from A to B? d) (Harder) Suppose n = 3. How many surjective functions are there from A to B?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.1: Sets And Geometry

Problem 12E: For the sets given in Exercise 9, is there a distributive relationship for intersection with respect...

See similar textbooks