Question

A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can choose to assemble a summer reading list. Each summer reading list must have exactly 3 novels and 2 non-fiction books. How many different summer reading lists are possible?

Answer 1

There are 60 different summer reading lists possible.

Explanation:

A certain school district has specified 5 different novels and 4 different non-fiction.

Each summer reading list must have exactly 3 novels and 2 non-fiction books.

So, the number of different summer reading lists that are possible is given by:

`5C3* 4C2`

=
`(5!)/(3!2!) *(4!)/(2!2!)`

=
`10*6=60`

Hence, there are 60 different summer reading lists possible.