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

Binary, how to divide a binaries

how to divide a binaries

Measures of central tendency-computation method, Computation method   ...

Computation method           Whereas L = Lower class boundary of the class having the mode             f 0 = Frequency of the class below the modal class

Trigonometric ratios, How do you find the ratio for these problems?

How do you find the ratio for these problems?

Compute the regular expression, 1. Consider the following context free gram...

1. Consider the following context free grammar G with start symbol S (we write E for the empty string, epsilon): S ---> bB | aSS A ---> aB | bAA B ---> E | bA | aS a. D

Show that the height of the aero plane, From  an  aero  plane  vertically  ...

From  an  aero  plane  vertically  above  a  straight  horizontal  road,  the  angles  of depression of two consecutive milestones on opposite sides of the aero plane are observed

Determine equation of tangent line, Determine equation of the tangent line ...

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

What is a lattice, What is a lattice? Which of the following graphs are lat...

What is a lattice? Which of the following graphs are lattice and why? Ans:  Let (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, comprises a glb (I

Circle, prove the the centre of a circle is twice of reference angle

prove the the centre of a circle is twice of reference angle

Estimate the rms value and prominent features, Figure shows the auto-spect...

Figure shows the auto-spectral density for a signal from an accelerometer which was attached to the front body of a car directly above its front suspension while it was driven at 6

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