MathDB
Problems
Contests
National and Regional Contests
Bulgaria Contests
Bulgaria National Olympiad
2020 Bulgaria National Olympiad
P4
Binomial coefficients and squares
Binomial coefficients and squares
Source: Bulgaria National Olympiad 2020, Problem 4
June 30, 2020
number theory
Problem Statement
Are there positive integers
m
>
4
m>4
m
>
4
and
n
n
n
, such that a)
(
m
3
)
=
n
2
;
{m \choose 3}=n^2;
(
3
m
)
=
n
2
;
b)
(
m
4
)
=
n
2
+
9
?
{m \choose 4}=n^2+9?
(
4
m
)
=
n
2
+
9
?
Back to Problems
View on AoPS