MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
BMT Problems
2020 BMT Fall
7
2020 BMT Discrete #7
2020 BMT Discrete #7
Source:
March 10, 2024
number theory
Problem Statement
Compute the number of ordered triples of positive integers
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
such that
a
+
b
+
c
+
a
b
+
b
c
+
a
c
=
a
b
c
+
1
a + b + c + ab + bc + ac = abc + 1
a
+
b
+
c
+
ab
+
b
c
+
a
c
=
ab
c
+
1
.
Back to Problems
View on AoPS