Answer:
The positions can be filled in 2730 ways
Step-by-step explanation:
The number of all posible ways is equal to the number of possibilities of who can become the manager, times the number of possibilities of who can become the associate manager, times the number of possibilities of who can become the assistant manager.
Now...
The number of possibilities of who can become the associate manager = 15
The number of possibilities of who can become the associate manager = 14
(it decrease by one because one person already got the position of manager)
The number of possibilities of who can become the assistant manager = 13
(based on the same logic as for the number of who can become the associate manager)
So now we know the number of ways equals...
15 x 14 x 13 = 2730
