SOLUTION: Out of 15 workers, 6 workers are assigned to a jobsite A, 4 to jobsite B and 5 to jobsite C. How many different ways can the worker be assigned?

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Question 870485: Out of 15 workers, 6 workers are assigned to a jobsite A, 4 to jobsite B and 5 to jobsite C. How many different ways can the worker be assigned?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Out of 15 workers, 6 workers are assigned to a jobsite A, 4 to jobsite B and 5
to jobsite C. How many different ways can the worker be assigned?

From the 15, choose 6 workers for jobsite A in C(15,6) ways.
From the remaining 9, choose 6 workers for jobsite B in C(9,4) ways.
The remaining 5 workers will automatically be assigned to jobsite C.

Answer: C(15,6)C(9,4) = (5005)(126) = 630,630 ways. 

Edwin