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COMBINATIONAL PROBLEM -2

daemon@ATHENA.MIT.EDU (Lotto Player )
Wed Feb 15 20:02:46 1995

To: s-news@utstat.toronto.edu
From: dwh@bom.gov.au (Lotto Player )
Date: Thu, 16 Feb 1995 00:07:39 GMT

COMBINATIONAL PROBLEM -2
Can anyone help ?
Sorry, my maths background is limited.

Yes I am also interested in sets with differing numbers of elements

eg

set a 1,2,3
set b 4,5
set c 6,7

total elements 1,2,3,4,5,6,7  = 7 elements
3 from 7 = 35 combinations, but several of them have
elements which share the same set.

I did not quite get the explanation regarding this type
of problem when sets have differing numbers of elements.

Could somebody provide another example for this type of case.
My requirement is to caculate the number of combinations
of 3 from 7 who's elements do not share the same set.


COMBINATIONS (combos with * have elements sharing the same set. There are 19)
123*	234*	345*	456*
124*	235*	346	457*
125*	236*	347	467*
126*	237*	356	567*
127*	245*	357
134	246	367*
135	247
136	256
137	257
145*	267*
146
147
156
157
167*

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