JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

The total number of selections of at most things from different things is 63. Then the value of is

Answer: (A)

Solution

Selections of at least one and at most things:

63={}^{2n+1}+{}^{2n+1}++{}^{2n+1} ⇒ 64={}^{2n+1}+{}^{2n+1}++{}^{2n+1}.

Since C_r$=

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Question ID VK-108185