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 *p*^{2}

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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