A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
stuck on a permutations question
 A clerk at a bookstore is restocking a shelf of bestselling novels. He has 5 copies each of 3 different novels. How many different ways can he arrange the books on the shelf?
anonymous
 3 years ago
stuck on a permutations question  A clerk at a bookstore is restocking a shelf of bestselling novels. He has 5 copies each of 3 different novels. How many different ways can he arrange the books on the shelf?

This Question is Open

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0figured it out , 15! / 5 ! 5! 5! with cancellation

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It depends on how many books fit the shelf. If he can fit all of them on the shelf, then this is the same as the famous mississippi problem. only instead of letters you have a type of book. If he can only fit say, 3 books on a shelf, then the problem is somewhat more complicated.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i think 6 he can arrange them 6 different ways i think

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Imagine of all 15 books were unique. you would then have 15! different combinations. for each combination, though there are 3 sets of 5! equivalencies when you take into account 3 books and 5 copies. so 15!/(5!5!5!)

kropot72
 3 years ago
Best ResponseYou've already chosen the best response.0If n given things can be divided into c classes of alike things differing from class to class, then the number of permutations of these things taken all at a time is: \[\frac{n!}{n _{1}!n _{2}!....n _{c}!}\] where \[n _{1}+n _{2}+.......n _{c}=n\] So @Litovel has the correct answer.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.