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Let a = [1, 2] and B = [3, 4]. Find the Total Number of Relation from a into B.

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Question

Let A = [1, 2] and B = [3, 4]. Find the total number of relation from A into B.

 
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Solution

We have:
A = {1, 2} and B = {3, 4}
Now,

\[n (A \times B) = n(A) \times n(B) = 2 \times 2 = 4\]

There are 2n relations from A to B, where n is the number of elements in their Cartesian product.
∴ Number of relations from A to B is 24 = 16.

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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 8 | Page 21

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