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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1
If n+2C6n−2P2=11\frac{{ }^{n+2} C_{6}}{{ }^{n-2} P_{2}}=11, then n\mathrm{n} satisfies the equation :
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Correct option: C
n2+3n−108=0n^{2}+3 n-108=0
Option C (n2+3n−108=0n^2 + 3n - 108 = 0) is correct because solving the given equation for n yields n=9, which satisfies the equation n2+3n−108=0n^2 + 3n - 108 = 0.

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