If P 56- r -6- P 54- r -3-30800- 1- find rA- None of theseB- 31C- 43D- 51E- 41

The correct option is E 41P(56, r + 6): P(54, r + 3) = 30800:1 ⇒56!/(50 r)! : 54!/(51 r)! = 30800 : 1 ⇒54!.55.56/(50 r)! : 54!/(50 r)!. (51 r) = 30800 : 1 ⇒308 ...

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Quantitative Aptitude

Functions

If P 56, r +6...

Question

If P (56, r + 6): P(54, r + 3) = 30800 : 1, find r.

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None of these

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Solution

The correct option is B 41
$P (56, r + 6) : P (54, r + 3) = 30800 : 1 \Rightarrow \frac{56!}{(50 - r)}! : \frac{54!}{(51 - r)}! = 30800 : 1 \Rightarrow \frac{54! .55 .56}{(50 - r)}! : \frac{54!}{(50 - r)! . (51 - r)} = 30800 : 1 \Rightarrow \frac{3080}{1} : \frac{1}{51 - r} = 30800 : 1 \Rightarrow 3080 (51 - r) = \frac{30800}{1} \Rightarrow 51 - r = 10 \Rightarrow r = 51 - 10 ∴ r = 41.$

Suggest Corrections

If P (56, r + 6): P(54, r + 3) = 30800 : 1, find r.

The correct option is B 41P(56,r+6):P(54,r+3)=30800:1⇒56!(50−r)!:54!(51−r)!=30800:1⇒54!.55.56(50−r)!:54!(50−r)!.(51−r)=30800:1⇒30801:151−r=30800:1⇒3080(51−r)=308001⇒51−r=10⇒r=51−10∴r=41.