Question

Slimp's Bookstore receives a box of books from each of five paperback publishers. Each box contains 21 different titles. The store manager decides there is room to display 4 books from each of 3 of the publishers. How many ways can the display be chosen?

Answer 1

Answer: There are 59850 ways to chose the display.

Explanation:

Since we have given that

Number of paperback publishers = 5

Number of titles each box contains = 21

Number of books display = 4

Number of publishers he needed = 3

So, the number of ways to select the 3 publishers from 5 is given by

`^5C_3=10`

Number of ways to select the books from the different books is given by

`^(21)C_4=5985`

Hence, total number of ways that the display can be chosen is given by

`5985* 10\\\\=59850`

Hence, there are 59850 ways to chose the display.