JEE Main 2016 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2016

If , then satisfies the equation:

Answer: (3)

Solution

Write both expressions out. The combination is

^{n+2} = ,

and the permutation is . Dividing, the factors cancel and the condition becomes

= 11 ⇒

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Question ID VK-115646