If n + 2 C 6 n - 2 P 2 = 11 , then n satisfies the equation:

n + 2 C 6 n - 2 P 2 = 11 ⇒ n + 2 n + 1 n n - 1 n - 2 n - 3 6 . 5 . 4 . 3 . 2 . 1 n - 2 n - 3 = 11 ⇒ n + 2 n + 1 n n - 1 = 11.10.9 . 8 ⇒ n = 9

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Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralMedium2 minPYQ_2016

MathematicsMediumsingle choice

If $\frac{^{n + 2} C_{6}}{^{n - 2} P_{2}} = 11$ , then $n$ satisfies the equation:

Options:

Answer:

Solution:

$\frac{^{n + 2} C_{6}}{^{n - 2} P_{2}} = 11$

$\Rightarrow$ $\frac{\frac{(n + 2) (n + 1) n (n - 1) (n - 2) (n - 3)}{6 . 5 . 4 . 3 . 2 . 1}}{(n - 2) (n - 3)} = 11$

$\Rightarrow$ $(n + 2) (n + 1) n (n - 1) = 11.10.9 . 8$

$\Rightarrow$ $n = 9$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2016

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