MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2009 Harvard-MIT Mathematics Tournament
6
2009 Combinatorics #6 - Sequence of 5 Positive Integers
2009 Combinatorics #6 - Sequence of 5 Positive Integers
Source:
January 7, 2012
Problem Statement
How many sequences of
5
5
5
positive integers
(
a
,
b
,
c
,
d
,
e
)
(a,b,c,d,e)
(
a
,
b
,
c
,
d
,
e
)
satisfy
a
b
c
d
e
≤
a
+
b
+
c
+
d
+
e
≤
10
abcde\leq a+b+c+d+e\leq10
ab
c
d
e
≤
a
+
b
+
c
+
d
+
e
≤
10
?
Back to Problems
View on AoPS