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in Sets, relations and functions by (53.3k points)

Given two finite sets A and B such that n(A) = 2, n(B) = 3. Then total number of relations from A to B is

(A)  4 

(B)  8 

(C)  64 

(D)  None of these

1 Answer

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by (53.1k points)
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Best answer

Correct option  (C) 64

Explanation :

Here, n (A x B) = 2 x 3 = 6.

Since every subset of A x B defines a relation from A to B, number of relation from A to B is equal to number of subsets of A x B  = 26 = 64 .

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