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Which is greater, 7 P 5 or 7 C 5? 7P5 7C5

1 Answer

4 votes


_7P_5=(7!)/((7-5)!)=(7!)/(2!)=3\cdot4\cdot5\cdot6\cdot7=2520\\_7C_5=(7!)/(5!2!)=(6\cdot7)/(2)=21\\\\\\_7P_5> {_7C_5}

--------------------------------------------


_nP_k is always greater than
_nC_k. And it's greater
k! times.


(_nP_k)/(_nC_k)=((n!)/((n-k)!))/((n!)/(k!(n-k)!))=(n!)/((n-k)!)\cdot (k!(n-k)!)/(n!)=k!

User Ackroydd
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