Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Oct 11, 2024

Functions are a special kind of relation. A function f : A A is friendly if a A , f ( a ) = a

Functions are a special kind of relation. A function f : A A is "friendly" if aA,f(a)=a .Let A be a set with| A|=n.

(a)Assume n is even. How many symmetric relations are there on A A that are also friendly functions?

(b)What if n is odd? How many symmetric relations are there on A A that are also friendly functions in this case?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

Step: 3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Core Connections Algebra 2

Authors: Leslie Dietiker, Judy Kysh, Tom Sallee, Brian Hoey

Student Edition

1603281150, 978-1603281157

More Books

Students also viewed these Mathematics questions

Question

★★★★★

Vince Sharma and Klaus Warsteiner formed a partnership on January 1, 2017. The partners agreed to invest equal amounts of capital. Sharma invested his proprietorship's assets and liabilities (all...

Answered: 1 week ago

Question

★★★★★

Bond A has an 11% annual coupon, matures in 12 years, and has a $1,000 face value. Bond B has a 7% annual coupon, matures in 12 years, and has a $1,000 face value. Bond C has a 15% annual coupon,...

Answered: 1 week ago

Question

★★★★★

B. Even though Hurricane Gustav left its mark, the town suffered minimal damage and gave a sigh of relief regarding energy prices.

Answered: 1 week ago

Question

★★★★★

On January 1, 2017, Doone Corporation acquired 60 percent of the outstanding voting stock of Rockne Company for $300,000 consideration. At the acquisition date, the fair value of the 40 percent...

Answered: 1 week ago

Question

★★★★★

Functions are a special kind of relation. A function f : A A is "friendly" if a A , f ( a ) = a .Let A be a set with| A|=n. (a)Assume n is even. How many symmetric relations are there on A A that are...

Answered: 1 week ago

Question

★★★★★

1. Using 5NN algorithm and the Euclidean distance measure, determine the class of the following unseen instance with first and second attributes 9.1 and 11.0, respectively. 2. Answer the first...

Answered: 1 week ago

Question

★★★★★

Exercise 4-1A Comparing a merchandising company with a service company LO 4-1 The following information is available for two different types of businesses for the Year 1 accounting year. Hopkins CPAs...

Answered: 1 week ago

Question

★★★★★

age Take me to the text The following information pertains to Christopher Lee's personal finances as at July 1, 2019. Opening Balances July 1, 2019 Cash $13,500 Contents of Home $2,100 Automobile...

Answered: 1 week ago

Question

★★★★★

10. Association Rules on Congressional Voting Records. Freelance reporter Irwin Fletcher is examining the historical voting records of members of the U.S. Congress. For 175 representatives, Irwin has...

Answered: 1 week ago

Question

★★★★★

The patient underwent a hemicolectomy and splenectomy a year earlier for excision of a primary adenocarcinoma of the colon. Recently, he developed abdominal pan. He was admitted with a questionalb...

Answered: 1 week ago

Question

★★★★★

According to McNutt and Hoeffer (2021), "the stock of low-cost housing is being destroyed through gentrification" as a result which of the following multiple consequences occur? Group of answer...

Answered: 1 week ago

Previous Question Next Question