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Let a = (X, Y, Z) and B = (A, B). Find the Total Number of Relations from a into B.

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Question

Let A = (x, y, z) and B = (a, b). Find the total number of relations from A into B.

 
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Solution

Given:
A = (x, y, z) and B = (a, b)
Now,
Number of elements in the Cartesian product of

\[A \text{ and}  B = 3 \times 2 = 6\] 

Number of relations from A to B = \[2^6 = 64\]

 

 
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Chapter 2: Relations - Exercise 2.3 [Page 21]

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R.D. Sharma Mathematics [English] Class 11
Chapter 2 Relations
Exercise 2.3 | Q 12 | Page 21

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