A student is allowed to select at most \( n \) books from a collect...

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A student is allowed to select at most \( n \) books from a collection of \( (2 n+1) \) books. If the total number of ways in which he can select at least one book is math xmlns=http://www.w3.org/1998/Math/MathMLmn63/mn/math, then \( n \) is :
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