The Principle of Inclusion-Exclusion can be used to solve the following problems. 1. How many functions ƒ : {1, 2, ..., 7} → {1,2,3,4} are surjective?
The Principle of Inclusion-Exclusion can be used to solve the following problems. 1. How many functions ƒ : {1, 2, ..., 7} → {1,2,3,4} are surjective?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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![The Principle of Inclusion-Exclusion can be used to solve the following problems.
1. How many functions ƒ : {1,2,..., 7} → {1, 2, 3, 4} are surjective?
2. Count the number of integers in the range 1 to 10¹0 are not perfect squares, cubes, or fifth powers. That is, the integer cannot be written in the form m" where m is an integer and r is
one of 2,3,5.
3. Count the number of arrangements of the 10 letters ABCDEFGHIJ in which none of the patterns ABE, BED, or HID occur.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe356142-e99c-48fb-85a3-4f159cdd6673%2Ff898f4e1-b179-41e0-939b-3d9cec5980bc%2Fndxi8uo_processed.png&w=3840&q=75)
Transcribed Image Text:The Principle of Inclusion-Exclusion can be used to solve the following problems.
1. How many functions ƒ : {1,2,..., 7} → {1, 2, 3, 4} are surjective?
2. Count the number of integers in the range 1 to 10¹0 are not perfect squares, cubes, or fifth powers. That is, the integer cannot be written in the form m" where m is an integer and r is
one of 2,3,5.
3. Count the number of arrangements of the 10 letters ABCDEFGHIJ in which none of the patterns ABE, BED, or HID occur.
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