A corporation plans to fill 2 different vice president roles V1 and V2 in two if it's manufacturing plants. Plant A has 9 officers and Plant B has 5 officers.
1. How many ways can these 2 positions be filled if V1 is chosen from plant A and V2 is chosen from plant B (I think the answer is 14)
2. How many ways can the 2 positions be filled if the selection is made without regard to the plant?

I just don't quite know where to proceed.

Question

A corporation plans to fill 2 different vice president roles V1 and V2 in two if it's manufacturing plants. Plant A has 9 officers and Plant B has 5 officers. 
1. How many ways can these 2 positions be filled if V1 is chosen from plant A and V2 is chosen from plant B (I think the answer is 14)
2. How many ways can the 2 positions be filled if the selection is made without regard to the plant? 

I just don't quite know where to proceed.

anonymous · Answer

in part 1, how many options you have for V1 and for V2, assuming V1 is filled with officers from plant A and V2 is filled with officers from plant B?