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Topic: unique ordering
Replies: 9   Last Post: May 10, 2014 1:16 PM

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: unique ordering
Posted: May 10, 2014 12:13 PM
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In article <0acdace5-c53a-4ca4-a474-200d90f2ef4f@googlegroups.com>,
radams2000@gmail.com wrote:

> Thought experiment:
>
> Lets say that I randomly draw N letters out of a Scrabble letter-bag. I will
> then place those letters in a horizontal line on a table. How many UNIQUE
> patterns of letters can I produce? If there were no duplicates it would be
> easy (N factorial) but when there are duplicate letters it seems more
> complicated.
>
> Bob


First calculate the value for all different letters, N factorial.
Then for each maximal set of n repeated letters, n > 1,
divide by n factorial.
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