MathCastle
Counting & ProbabilityEasyIdentities and Techniques, Proved

Identities and Techniques, Proved · Easy problem

Use the hockey stick identity to find the value of

(33)+(43)+(53)+(63)+(73)+(83)+(93).\binom{3}{3}+\binom{4}{3}+\binom{5}{3}+\binom{6}{3}+\binom{7}{3}+\binom{8}{3}+\binom{9}{3}.