^4Pr = 4*^5Pr-1. Find r.(a) 1(b) 2(c) 3(d) 4The question was posed to me during an online interview.My question is based upon Permutations-2 in division Permutations and Combinations of Mathematics – Class 11

^4Pr = 4*^5Pr-1. Find r.(a) 1(b) 2(c) 3(d) 4The question was posed to

1.	^4Pr = 4*^5Pr-1. Find r.(a) 1(b) 2(c) 3(d) 4The question was posed to me during an online interview.My question is based upon Permutations-2 in division Permutations and Combinations of Mathematics – Class 11
Answer» The correct ANSWER is (a) 1 The best explanation: ^4PR = 4^5Pr-1 => \(\frac{4!}{(4-r)!} = 4\frac{5!}{(5-r+1)!}\) => \(\frac{(6-r)!}{(4-r)!} = 4\frac{5!}{4!}\) => (6-r) (5-r) = 45 => r=1.

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