How many relations are possible from a set, Mathematics

Assignment Help:

How many relations are possible from a set A of 'm' elements to another set B of 'n' elements?   

 Ans: A relation R from a set A to other set B is specified as any subset of A x B. If |A| = m and |B| = n, after that |A x B| =mn and thus number of possible subsets of A x B = 2mn. Every subset is a relation from A to B. So there are 2mn dissimilar types of relations from A to B.


Related Discussions:- How many relations are possible from a set

Business applications, Business Applications In this section let's tak...

Business Applications In this section let's take a look at some applications of derivatives in the business world.  For the most of the part these are actually applications wh

Maths, f all the permutations of the letters of the word chalk are written ...

f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?

Explain similar figures in similarity, Explain Similar Figures in similarit...

Explain Similar Figures in similarity ? Similar figures are figures that have the same shape but not necessarily the same size, so the image of a figure is similar to the orig

Define combined functions, Q. Define Combined Functions? Ans. We a...

Q. Define Combined Functions? Ans. We are often interested in functions which combine a trigonometric function with another type of function.  For example, y = x + sinx wi

Algebra, how do i sole linear epuation

how do i sole linear epuation

Compounding and Simple Interest, A painting was purchased 11 years ago for ...

A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.

Identify the surface for the equation , Identify the surface for each of th...

Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a)  In two dimensions we are familiar with that this

Pre calculus , use the point to generate a cosine function that models the ...

use the point to generate a cosine function that models the sound wave. Name the amplitude Name the period Name the phase shift name the vertical shift Write the equation for the

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