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Let a = {X, Y, Z} and B = {1, 2}. Find the Number of Relations from a to B. - CBSE (Arts) Class 11 - Mathematics

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Question

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

Solution

It is given that A = {xy, z} and B = {1, 2}.

∴ A × B = {(x, 1), (x, 2), (y, 1), (y, 2), (z, 1), (z, 2)}

Since n(A × B) = 6, the number of subsets of A × B is 26.

Therefore, the number of relations from A to B is 26.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 2: Relations and Functions
Ex. 2.20 | Q: 8 | Page no. 36

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Solution Let a = {X, Y, Z} and B = {1, 2}. Find the Number of Relations from a to B. Concept: Relation.
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