Question 11
Find the remainder when
$$
\binom{3}{2} + \binom{4}{2} + \dots + \binom{40}{2}
$$
is divided by $1000$.
$$
\binom{3}{2} + \binom{4}{2} + \dots + \binom{40}{2}
$$
is divided by $1000$.
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)