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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.

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vlatkostojanovic

Answer:

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:

[tex]C_3^{17}=\frac{17!}{3!(17-3)!}=680[/tex]

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

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