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If $^{n + 1} C_{r + 1} :^{n} C_{r} :^{n - 1} C_{r - 1} = 11 : 6 : 3$ then the value of $n$ is

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Correct option is B

As n+1Cr+1=(n+1)r+1 nCr n+1Cr+1 nCr=(n+1)r+1=116⇒6n+6=11r+11⇒6n=11r+5 nCr n-1Cr-1=nr=63⇒n=2r 6n=11r+5⇒12r=11r+5⇒r=5 n=10

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If n+1Cr+1:nCr:n−1Cr−1=11:6:3 then the value of n is

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If $^{n + 1} C_{r + 1} :^{n} C_{r} :^{n - 1} C_{r - 1} = 11 : 6 : 3$ then the value of $n$ is