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# How do you evaluate 6p4?

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Jim G. Share
Mar 12, 2018

#### Answer:

$360$

#### Explanation:

${\text{using the definition of }}^{n} {P}_{r}$

•color(white)(x)^nP_r=(n!)/((n-r)!)

"where "n! =n(n-1)(n-2)......xx3xx2xx1

rArr^6P_4=(6!)/((6-4)!)=(6!)/(2!)

(6!)/(2!)=(6xx5xx4xx3xx2xx1)/(2xx1)=720/2=360

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