How do you evaluate 5P4?

1 Answer
Jan 17, 2018

120120

Explanation:

"using the definition for "^nP_rusing the definition for nPr

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

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

rArr^5P_4=(5!)/((5-4)!)=(5!)/(1!)

[1! =1]

rArr^5P_4=5! =5xx4xx3xx2xx1=120