A student is allowed to select at most n books from a collection of (2n+1) books. If the total number of ways in which a student selects at least one book is 63. then n equals to -

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the problem
We need to find the value of \( n \) such that the total number of ways a student can select at least one book from a collection of \( 2n + 1 \) books is 63. The student can select at most \( n \) books.

### Step 2: Calculate the total ways to select books
The total number of ways to select any number of books from \( 2n + 1 \) books is given by \( 2^{(2n + 1)} \). This includes all possible selections, including selecting no books.

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