Imagine you are tasked with designing a smart library system that involves mapping

books to categories, authors to genres and customers to book preferences. Your

goal is to ensure that the library system is efficient and can accurately reflect

relationships between books, authors and patrons.

a$)$ Construct the specific sets provided below:

$$ Books $($B$)$: Create a set of $10$ books with unique titles.

$$ Categories $($C$)$: Define a set of $5$ book categories $($e$.$g$.,$ Fiction, Non$-$

Fiction, Science, History, Fantasy$).$

$$ Authors $($A$)$: Define a set of $5$ authors with unique names.

$$ Genres $($G$)$: Create a set of $3$ genres.

$$ Patrons $($P$)$: Define a set of $6$ library patrons.