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

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


in reply to Re: x objects in y containers where all objects are used
in thread x objects in y containers where all objects are used

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.

blokhead


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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.

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