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 17 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants.

So, exist 680 different ways the positions can be filled by these applicants.

Step-by-step explanation:

We know that there are three nursing positions to be filled at Lilly Hospital. There are 17 candidates qualified for all three of the positions.

So, we need to select 3 candidates out of 17.  We calculate how many ways is possible. We use the formula:

So, exist 680 different ways the positions can be filled by these applicants.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10