Q. 10

Mark the correct alternative in the following:

If the set A has p elements, B has q elements, then the number of elements in A ×B is

A. p + q

B. p + q + 1

C. pq

D p2

Answer :

Since A has p elements, so each element of A will make a pair with each element of set B , and so other elements of A will do the same..

This is all forms q + q + q+ q +…….{p-times} ordered pairs…

Therefore, we will have a total of pq elements in A ×B.

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