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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?

Respuesta :

Answer: There are 59850 ways to chose the display.

Step-by-step 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

[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.

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