What is a Relation – Find Number of Relations – Power Set | CBSE | IIT JEE | BITSAT - Videos

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In this video, we will discuss how a relation is defined in mathematics using Cartesian product of two sets.
Relation defined from set A to B is any subset of A×B.
How we can find the numbers of relations from set A to B containing only “n” number of elements
How to calculate the total number of relations from set A to B if set A contains “m” numbers of elements and set B contains “n” numbers of elements
What is a POWER SET – The set containing all the possible subsets of a set.
How to evaluate the number of elements in a POWER SET.
How the number of elements in a POWER SET is related to number of relations.

We will also discuss, What does it mean by “A binary relation on a set”.
How to find the number of binary relation on set A×B.

Question discussed
JEE Main 2014
A relation on the set A={x : |x| less than 3, x∈Z}, where Z is the set of integers defined by R={(x,y) :y=|x|, x≠1}. Then the number of elements in power set of R is:
(A) 32 (B) 16 (C) 8 (D) 6
ANSWER (B)
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TRY YOURSELF QUESTION
JEE Main 2013 & JEE Main 2015
Let A and B two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more elements is
(A) 256 (B) 220 (C) 219 (D) 211
ANSWER (C)
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Some Other Important Links are given below:

Mathematical Reasoning IIT JEE Lectures Playlist Link

Statistics IIT JEE Lectures Playlist Link

Sum of Series IIT JEE Concepts Playlist Link

Permutation and Combination IIT JEE Concepts Playlist Link

Binomial Theorem IIT JEE Concepts Playlist Link

Complex Numbers Maximum and Minimum Value IIT JEE Concepts Playlist Link

Physics Formulae Revision Playlist Link

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