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Contests
National and Regional Contests
India Contests
India National Olympiad
1992 India National Olympiad
4
Find permutations
Find permutations
Source: INMO 1992 Problem 4
October 4, 2005
permutations
counting
combinatorics
Problem Statement
Find the number of permutations
(
p
1
,
p
2
,
p
3
,
p
4
,
p
5
,
p
6
)
( p_1, p_2, p_3 , p_4 , p_5 , p_6)
(
p
1
,
p
2
,
p
3
,
p
4
,
p
5
,
p
6
)
of
1
,
2
,
3
,
4
,
5
,
6
1, 2 ,3,4,5,6
1
,
2
,
3
,
4
,
5
,
6
such that for any
k
,
1
≤
k
≤
5
k, 1 \leq k \leq 5
k
,
1
≤
k
≤
5
,
(
p
1
,
…
,
p
k
)
(p_1, \ldots, p_k)
(
p
1
,
…
,
p
k
)
does not form a permutation of
1
,
2
,
…
,
k
1 , 2, \ldots, k
1
,
2
,
…
,
k
.
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