Symmetric and anti-symmetric relation on a set, Mathematics

Assignment Help:

1. Let A = {1,2, 3,..., n}

(a) How many relations on A are both symmetric and anti-symmetric?

(b) If R is a relation on A that is anti-symmetric, what is the maximum number of ordered pairs that can be in R?

(c) How many anti-symmetric relations on A have the maximum size that you determined in part (b)?


Related Discussions:- Symmetric and anti-symmetric relation on a set

Triangles, In a triangle ABC, D &E is a are points on AB & AC ,if the one s...

In a triangle ABC, D &E is a are points on AB & AC ,if the one side of a triangle is 4cm & another side is 5 cm find that the ar(triangleABC):ar(BCDE)

Which of the subsequent represents the cost y of phone call, A telephone co...

A telephone company charges $.35 for the first minute of a phone call and $.15 for each additional minute of the call. Which of the subsequent represents the cost y of a phone call

Determine the determinant of matrix, Example Determinant:   Determine ...

Example Determinant:   Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in

Find a general solution to the differential equation, Example: Find a gene...

Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe

Example of learning to count, A parent shows his child four pencils. He pla...

A parent shows his child four pencils. He places them in a row in front of her and says "one" as he points to the first pencil, "two" as he points to the second one, "three" as he

Area with parametric equations - polar coordinates, Area with Parametric Eq...

Area with Parametric Equations In this section we will find out a formula for ascertaining the area under a parametric curve specified by the parametric equations, x = f (t)

Word Problem, One box can hold 5 1/2 lbs of nuts and 3 lb 6oz of bolts. Wha...

One box can hold 5 1/2 lbs of nuts and 3 lb 6oz of bolts. What is the total weight for one box?

Solve for, a)Solve for ?, if tan5? = 1. Ans:    Tan 5? = 1        ⇒ ? ...

a)Solve for ?, if tan5? = 1. Ans:    Tan 5? = 1        ⇒ ? =45/5 ⇒ ?=9 o . b)Solve for ? if S i n ?/1 + C os ? + 1 +  C os ?/ S i n ? = 4 . Ans:  S i n ?/1 +

Pair of straight lines, how to solve the problems? methods to solve the que...

how to solve the problems? methods to solve the question of joint lines

Describe common phrases to represent math operations, Describe Common Phras...

Describe Common Phrases to Represent Math Operations? The table below shows the common phrases used in word problems to represent addition, subtraction, multiplication, and div

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd