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If a = {1, 2, 3} and B = {X, Y}, Then the Number of Functions that Can Be Defined from a into B is (A) 12 (B) 8 (C) 6 (D) 3 - CBSE (Science) Class 11 - Mathematics

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Question

If A = {1, 2, 3} and B = {xy}, then the number of functions that can be defined from A into B is

  • (a) 12

  • (b) 8

  • (c) 6

  • (d) 3

     

Solution

(b) 8

Given:
Number of elements in set A = 3
Number of elements in set B = 2
Therefore, the number of functions that can be defined from A into B is = 23 = 8.

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Solution If a = {1, 2, 3} and B = {X, Y}, Then the Number of Functions that Can Be Defined from a into B is (A) 12 (B) 8 (C) 6 (D) 3 Concept: Functions.
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