Check sibling questions

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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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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