Example 9 - Chapter 2 Class 11 Relations and Functions

Last updated at Dec. 13, 2024 by

Example 9 - Let A = {1, 2}, B = {3, 4}. Find number of relations

Example 9 - Chapter 2 Class 11 Relations and Functions - Part 2

Example 9

Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

Given A = {1,2} & B = {3,4}

Number of relations from A to B = 2Number of elements in A × B

= 2Number of elements in set A  ×  Number of elements in set B

= 2n(A) × n(B)

Number of elements in set A = 2

Number of elements in set B = 2

Number of relations from A to B = 2n(A) × n(B)

= 22 × 2

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Transcript

Example 9 Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B. Given A = {1,2} & B = {3,4} Number of relations from A to B = 2Number of elements in A × B = 2Number of elements in set A × Number of elements in set B = 2n(A) × n(B) Number of elements in set A = 2 Number of elements in set B = 2 Number of relations from A to B = 2n(A) × n(B) = 22 × 2 = 24 = 2 × 2 × 2 × 2 = 16

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo