Question 1153812: A contracting company ranks its employees into three levels: Level 1, Level 2, and Level 3. The number of employees that the company currently has at each level is provided below.
7 Level 1 Employees
18 Level 2 Employees
28 Level 3 Employees
The company currently has four positions available: Position A, Position B, Position C, and Position D.
Position A requires a Level 3 employee.
Position B requires a Level 2 employee.
Position C requires a Level 2 employee.
Position D requires a Level 1 employee.
Determine the number of different ways in which the company can fill the four positions.
Answer by ikleyn(52819)   (Show Source):
You can put this solution on YOUR website! .
Any of 28 of the Level-3 employees for position A.
Any of 18 of the Level-2 employees for position B.
Any of 18-1 = 17 of the remaining of the Level-2 employees for position C.
Any of 7 of the Level-3 employees for position D.
In all, it gives 28*18*17*7 = 59976 different ways to fill the positions.
Solved.
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