The combinatorial interpretation of the hockey stick formula is indeed interesting. We recently figured out that the same ranking technique can be used to combinatorially prove the algebraic identity in Problem 6 from the first ever Canadian Mathematical Olympiad from 1969.
I've been looking for someone to explain this identity and I think this is the best one.
Oh, thank you! That's a great compliment. I appreciate your view and comment.
Thanks!! I really wanted to understand this proof (for a TA in probabilities), and couldn't understand it written online.
I'm happy to hear that the explanation was helpful for you!
Nice
Very interesting
The combinatorial interpretation of the hockey stick formula is indeed interesting. We recently figured out that the same ranking technique can be used to combinatorially prove the algebraic identity in Problem 6 from the first ever Canadian Mathematical Olympiad from 1969.