Posted by Genie_math on Wednesday, October 3, 2012 at 9:01pm.
Think of it this way:
Every time all the 18 posts are filled, there will be a set of 7 guards left out.
So the question becomes, how many set of 7 from 25 can we find, which is
C(25,7) or C(25,8) , both yield the same answer.
BTW, your clarification in brackets is a contradiction
you probably meant to say
((That is, they are NOT distinguishable.)
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