Question

A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport a, five go to airport b, and one goes to airport
c. In how many distinct ways can this be accomplished?

Answer 1

Answer:

There are 504 distinct ways can this be accomplished.

Step-by-step explanation:

A fleet of nine taxis is to be dispatched to three airports.

3 go to airport a, 5 go to airport b, and 1 goes to airport c.

The number of distinct ways this can this be accomplished is:

$(9C3)(6C5)(1C1)$

= $(84)(6)(1)(1)$

= 504

Therefore, there are 504 distinct ways can this be accomplished.