Q. 135.0( 3 Votes )

# Let A = {2, 3} and B= {3, 5}

(i) Find (A × B) and n(A × B).

(ii) How many relations can be defined from A to B?

Answer :

Given: A = {2, 3} and B= {3, 5}

(i) (A × B) = {(2, 3), (2, 5), (3, 3), (3, 5)}

Therefore, n(A × B) = 4

(ii) No. of relation from A to B is a subset of Cartesian product of (A × B).

Here no. of elements in A = 2 and no. of elements in B = 2.

So, (A × B) = 2 × 2 = 4

So, the total number of relations can be defined from A to B is =

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