Choosing Genres from Library

At a library, there are 6 different genres of books: Fiction, Non-Fiction, Mystery, Fantasy, Science Fiction, and Biography. If a student wants to choose 3 genres to focus on for a book report, how many different combinations of genres can the student choose?

To solve this, remember to use the concept of combinations, where the order of selection does not matter. The formula for combinations is given by:

$$ C(n, r) = \f\frac{n!}{r!(n-r)!} $$

where $n$ is the total number of genres and $r$ is the number of genres to choose.