Question 1153839: 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.
8 Level 1 Employees
16 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 3 employee.
Position C requires a Level 2 or Level 3 employee.
Position D can be filled by an employee of any level.
Determine the number of different ways in which the company can fill the four positions.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Number of choices for position A: 28 (any of the 28 level 3 employees)
Number of choices for position B: 27 (any of the remaining 27 level 3 employees)
Number of choices for position C: 42 (any of the remaining 26 level 3 employees, or any of the 16 level 2 employees)
Number of choices for position D: 49 (any of the remaining employees)
Total number of ways to fill the four positions:
28*27*42*49
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