Combinatorics/Permutation problem?

  • Thread starter ArcanaNoir
  • Start date
  • #1
768
4

Homework Statement



If 4 American, 2 French, and 3 British people are to be seated in a row, how many seating arrangements are possible when people of the same nationality must sit next to each other?

Homework Equations





The Attempt at a Solution



If I "glue" the people together like so: ABF then there are 3! ways to arrange them. There are 4! ways to arrange the Americans, 2! to arrange the French, and 3! ways to arrange the british. Is the answer 3!4!2!3!= 1728?
 

Answers and Replies

  • #2
I like Serena
Homework Helper
6,579
176


I thought you had run away! :smile:

I'm starting to think that you like these problems!


(Oh, and yes, you have it right! :wink:)
 
  • #3
768
4


It's a miracle!

Oh, and I don't like these problems, I like passing my classes.
 

Related Threads on Combinatorics/Permutation problem?

  • Last Post
Replies
1
Views
2K
Replies
2
Views
5K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
853
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
1
Views
923
  • Last Post
Replies
2
Views
1K
Top