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29
Purple Comet 2018 HS problem 29
Purple Comet 2018 HS problem 29
Source:
March 19, 2020
number theory
HS
Problem Statement
Find the three-digit positive integer
n
n
n
for which
(
n
3
)
(
n
4
)
(
n
5
)
(
n
6
)
\binom n3 \binom n4 \binom n5 \binom n6
(
3
n
)
(
4
n
)
(
5
n
)
(
6
n
)
is a perfect square.
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