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 ___.

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Solution

Here n(A × B) = 2 × 3 = 6

Since every subset of A × B defines a relation

from A to B, number of relations from A to B is

equal to number of subsets of A × B = $2^{6}$ = 64 .

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