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Tournament Of Towns
1980 Tournament Of Towns
(003) 3
(003) 3
Part of
1980 Tournament Of Towns
Problems
(1)
TOT 003 1980 Spring J3 permutations of 2,...,102 divisible by k for all k
Source:
8/16/2019
If permutations of the numbers
2
,
3
,
4
,
.
.
.
,
102
2, 3,4,..., 102
2
,
3
,
4
,
...
,
102
are denoted by
a
i
,
a
2
,
a
3
,
.
.
.
,
a
101
a_i,a_2, a_3,...,a_{101}
a
i
,
a
2
,
a
3
,
...
,
a
101
, find all such permutations in which
a
k
a_k
a
k
is divisible by
k
k
k
for all
k
k
k
.
permutations
combinatorics
number theory
divisible