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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions