SOLUTION: Slimp's Bookstore receives a box of books from each of five paperback publishers. Each box contains 23 different titles. The store manager decides there is room to display 4 books

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Question 1149501: Slimp's Bookstore receives a box of books from each of five paperback publishers. Each box contains 23 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? (Round your answer to the nearest one billion.)

Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
.

First, you can select 3 publishers from 5 publishers by   ways.

Then you can can select  4 books from each of the 3 boxes, containing 25 different titles, by   ways.


Compute the mentioned numbers in each of the two lines above, and then calculate their product.


I assume that the ordering of books in the display does not matter

    (since the problem says nothing about it).

You do all calculations, following my instructions.

---------------------

On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.


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