if 9p5 + 5* 9p4 = 10pr. find the value of r.
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SOLUTION:--
9p5 + 5* 9p4 = 10pr
9! / 4! + 5 x 9! / 5! = 10!/ (10-r)!
cancelling the 9! on LHS and 10! on RHS
1/4! + 5/5! = 10/ (10-r)!
taking LCM
5+5/ 5! = 10 / (10-r)!
5! = (10-r)!
=> 5 = 10-r
r = 5
SOLUTION:--
9p5 + 5* 9p4 = 10pr
9! / 4! + 5 x 9! / 5! = 10!/ (10-r)!
cancelling the 9! on LHS and 10! on RHS
1/4! + 5/5! = 10/ (10-r)!
taking LCM
5+5/ 5! = 10 / (10-r)!
5! = (10-r)!
=> 5 = 10-r
r = 5
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