MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AIME Problems
2022 AIME Problems
10
choosechoosechoosechoosechoosechoose
choosechoosechoosechoosechoosechoose
Source: 2022 AIME II #10
February 17, 2022
AIME II
AMC
AIME
Problem Statement
Find the remainder when
(
(
3
2
)
2
)
+
(
(
4
2
)
2
)
+
⋯
+
(
(
40
2
)
2
)
\binom{\binom{3}{2}}{2} + \binom{\binom{4}{2}}{2} + \dots + \binom{\binom{40}{2}}{2}
(
2
(
2
3
)
)
+
(
2
(
2
4
)
)
+
⋯
+
(
2
(
2
40
)
)
is divided by
1000
1000
1000
.
Back to Problems
View on AoPS