If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R1 = {(1, 4), (1, 5), (1, 6)} - Mathematics and Statistics

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Sum

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R1 = {(1, 4), (1, 5), (1, 6)}

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Solution

A = {1, 2, 3}, B = {4, 5, 6}
∴ A × B = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)}
R1 = {(1, 4), (1, 5), (1, 6)}
Since R1 ⊆ A × B
∴ R1 is a relation from A to B.

Concept: Relations of Sets
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Chapter 1: Sets and Relations - Miscellaneous Exercise 1 [Page 17]

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Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 1 Sets and Relations
Miscellaneous Exercise 1 | Q 6. (i) | Page 17
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