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(Q). A student is allowed to select atmost n books from a collection of (2n + 1) books. what is the number of ways of doing this?
Solution:- 

Number of ways = ............ (i)Now to find the value of equation (i)We know that this can again be written as: -as we know that so again above equation can be written as: - this is equation (i)So value of equation (i) i.e. our final answer is ⟹ Answer