Welcome to the Monastery PerlMonks

Re^2: x objects in y containers where all objects are used

 on Nov 06, 2009 at 14:35 UTC ( #805497=note: print w/replies, xml ) Need Help??

That formula (6! / 3(2!)) only applies if you have 6 items and put exactly two in each container. I don't think it expresses something about the maximal capacity, it's about a fixed capacity that you must put in each container.

• Comment on Re^2: x objects in y containers where all objects are used

Replies are listed 'Best First'.
Re^3: x objects in y containers where all objects are used
by moritz (Cardinal) on Nov 06, 2009 at 14:45 UTC
That formula (6! / 3(2!)) only applies if you have 6 items and put exactly two in each container.

You're right. That's why I asked if my assumption was correct that the containers have limited capacity. If it were, distributing 5 elements on 3 containers with a capacity of 2 each is the same as distributing 6, where the sixth is the empty/missing element.

I don't think it expresses something about the maximal capacity, it's about a fixed capacity that you must put in each container.

If you have a maximal capacity, and add virtual filling items, the problem becomes very similar to a fixed capacity - except that you have to divide by the factorial of the number of filling items, which I forgot in my previous post.

Perl 6 - links to (nearly) everything that is Perl 6.

Create A New User
Node Status?
node history
Node Type: note [id://805497]
help
Chatterbox?
and all is quiet...

How do I use this? | Other CB clients
Other Users?
Others having an uproarious good time at the Monastery: (8)
As of 2017-06-25 21:48 GMT
Sections?
Information?
Find Nodes?
Leftovers?
Voting Booth?
How many monitors do you use while coding?

Results (571 votes). Check out past polls.