How do you evaluate 10P7 using a calculator?

1 Answer
Jim G.
Jan 5, 2018

604800604800

Explanation:

"using the definition of "^nP_rusing the definition of nPr

•color(white)(x)^nP_r=(n!)/((n-r)!)∙xnPr=n!(n−r)!

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

rArr^(10)P_7=(10!)/(3!)

=(10xx9xx8xx7xx6xx5xx4xxcancel(3xx2xx1))/(cancel(3xx2xx1)

=10xx9xx8xx7xx6xx5xx4=604800

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