Q:

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?

Accepted Solution

A:
Answer: There are 59850 ways to chose the display.Step-by-step explanation:Since we have given thatNumber of paperback publishers = 5Number of titles each box contains = 21Number of books display = 4Number of publishers he needed = 3So, the number of ways to select the 3 publishers from 5 is given by[tex]^5C_3=10[/tex]Number of ways to select the books from the different books is given by[tex]^{21}C_4=5985[/tex]Hence, total number of ways that the display can be chosen is given by[tex]5985\times 10\\\\=59850[/tex]Hence, there are 59850 ways to chose the display.