Question

There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 10 candidates qualified for 3 of the positions. Determine the number of different ways that 3 positions can be filled by these applicants.a.30.b.720.c. none of these choices.d. 10.e. 120

Answer 1

Answer:

The correct option is B) 720.

Step-by-step explanation:

Consider the provided information.

We have 10 candidates those qualified for 3 of the positions.

There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position.

For Position 1  we have 10 choices, if we select 1 out of 10 candidates we are left with 9 candidates.

For position 2 we have 9 candidates, if we select 1 out of 9 candidates we are left with 8 candidates.

For position 3 we have 8 candidates.

Therefore, the number of ways are: $10\times 9\times 8=720$

The number of different ways that 3 positions can be filled by these applicants is 720.

Hence, the correct option is B) 720.