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If the ratio \ \ ^(2n)C3 .\ \ ^n C3 is e...

If the ratio `\ \ ^(2n)C_3` .`\ \ ^n C_3` is equal to 11:1 find `ndot`

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Given `\ ^2 n C_3 cdot\ ^{{n}} {C}_{3}=11: 1`
`Rightarrow\ ^{2 n C_{3}=11 times\ ^n C_{3}`
`Rightarrow frac{2 n(2 n-1)(2 n-2)}{3 !}=11 times frac{n(n-1)(n-2)}{3 !} quad[because\ ^{n} C_{T}=frac{n !}{(n-r) ! times r !}]`
`Rightarrow 4(2 n-1)=11(n-2)`
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