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Regional Mathematical Olympiad
1994 India Regional Mathematical Olympiad
3
Find all numbers
Find all numbers
Source: Indian RMO 1994 Problem 3
October 25, 2005
Problem Statement
Find all 6-digit numbers
a
1
a
2
a
3
a
4
a
5
a
6
a_1a_2a_3a_4a_5a_6
a
1
a
2
a
3
a
4
a
5
a
6
formed by using the digits
1
,
2
,
3
,
4
,
5
,
6
1,2,3,4,5,6
1
,
2
,
3
,
4
,
5
,
6
once each such that the number
a
1
a
2
a
2
…
a
k
a_1a_2a_2\ldots a_k
a
1
a
2
a
2
…
a
k
is divisible by
k
k
k
for
1
≤
k
≤
6
1 \leq k \leq 6
1
≤
k
≤
6
.
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