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?

Respuesta :

Answer:

There are 60 different summer reading lists possible.

Step-by-step 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:

[tex]5C3\times 4C2[/tex]

= [tex]\frac{5!}{3!2!} \times\frac{4!}{2!2!}[/tex]

= [tex]10\times6=60[/tex]

Hence, there are 60 different summer reading lists possible.

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