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If  2n+1Pn1:2n1Pn=3:5 then the value of n is equal to

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detailed solution

Correct option is B

We have,  2n+1Pn−1:2n−1Pn=3:5⇒      2n+1Pn−12n−1Pn=35⇒    (2n+1)!(n+2)!×(n−1)!(2n−1)!=35⇒    (2n+1)(2n)(n+2)(n+1)n=35 ⇒     10(2n+1)=3(n+2)(n+1)⇒    3n2−11n−4=0⇒    (n−4)(3n+1)=0⇒n=4


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