SOLUTION: Evaluate the quantity. 3 · P(6, 3) · C(7, 4)

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Question 1086230: Evaluate the quantity.
3 · P(6, 3) · C(7, 4)
Answer by mathmate(429) About Me  (Show Source):
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Question:
Evaluate the quantity.
3 · P(6, 3) · C(7, 4)
P(n,r)=n!/(n-r)!
C(n,r)=n!/(r!(n-r)!)
So
3P(6,3)C(7,4)
=3(6!/3!)(7!/(4!3!)
=3(6*5*4)(7*6*5/(3*2*1))
=3(120)(35)
=12600