Question

There are 3 nursing positions to be filled at Lilly Hospital. Position one is the day nursing supervisor; position two is the night nursing supervisor; and position three is the nursing coordinator. There are 15 candidates qualified for all three of the positions. How many different ways can the positions be filled by these applicants

Answer 1

2730 possible ways

Explanation:

Given

`Applicants = 15`

`Positions = 3`

Required

Number of possible selections

Since there is no restriction, the number of selection is calculated as:

The day nursing supervisor position can be occupied by any of the 15 applicants

The night nursing supervisor position can be occupied by any of the remaining 14

The nursing coordinator position can be occupied by any of the 13

So, the number of ways is then calculated as:

`Ways = 15 * 14 * 13`

`Ways = 2730`

Hence, there are 2730 possible ways