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Czech-Polish-Slovak Match
2005 Czech-Polish-Slovak Match
4
4
Part of
2005 Czech-Polish-Slovak Match
Problems
(1)
Arrange balls so that A gets as many as 4 others
Source: Czech-Polish-Slovak 2005 Q4
4/27/2013
We distribute
n
≥
1
n\ge1
n
≥
1
labelled balls among nine persons
A
,
B
,
C
,
…
,
I
A,B,C, \dots , I
A
,
B
,
C
,
…
,
I
. How many ways are there to do this so that
A
A
A
gets the same number of balls as
B
,
C
,
D
B,C,D
B
,
C
,
D
and
E
E
E
together?
floor function
algebra
polynomial
combinatorics unsolved
combinatorics