probably also in our text somewhere; easier to find here if the net happens to be in a good mood
February 6, 2015 in Combinatorics
combinations with repetition (from a course by one “miguel a.~lerma” at northwestern).
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February 9, 2015 at 12:40 pm
Good day Owen,
I lived on campus from 07 to 11 and have two Zines. 0.8 and #1.
Is there a way to get a complete set?
Dave in Cleveland.
February 14, 2015 at 4:36 pm
hi dave. my email is vlorbik_@_gmail.com (sans _underlines_); send along a postal address & i’ll see what i’ve got on file. at least a few of the “micro” format like 0.8 are available as of right now i know. thanks for your interest!
April 14, 2015 at 6:42 pm
http://en.wikipedia.org/wiki/Twelvefold_way
Enumeration formulas for the twelvefold way
Any f Injective f Surjective f
Distinct x^n\, x^{\underline n} \textstyle x!\{{n\atop x}\}\,
Sn orbits \binom{x+n-1}n \binom xn \binom{n-1}{n-x}
Sx orbits \sum_{k=0}^x\left\{{n\atop k}\right\} [n\leq x] \left\{{n\atop x}\right\}
Sn×Sx orbits p_x(n+x)\, [n\leq x] p_x(n)\,
April 14, 2015 at 6:54 pm
http://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)
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