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2
2019 Discrete Tiebreaker #2
2019 Discrete Tiebreaker #2
Source:
October 5, 2022
2019
Discrete Math Tiebreaker
Problem Statement
Let
P
1
,
P
2
,
…
,
P
720
P_1,P_2,\dots,P_{720}
P
1
,
P
2
,
…
,
P
720
denote the integers whose digits are a permutation of
123456
123456
123456
, arranged in ascending order (so
P
1
=
123456
P_1=123456
P
1
=
123456
,
P
2
=
123465
P_2=123465
P
2
=
123465
, and
P
720
=
654321
P_{720}=654321
P
720
=
654321
). What is
P
144
P_{144}
P
144
?
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