Putnams

Yesterday was the Putnam Exam. I missed the morning half because I slept in, but it seems as if the problems would be too hard for me anyway. I think I could have had a chance at one of them, but I have been too lazy to attempt it and see if I actually could. The afternoon session was better, and I got one problem finished and another started until I forgot an identity about the binomial coefficients:

Σ_i=0ⁿ _iC_k = _n+1C_k+1
Oh well. Maybe I'll do better next year. Maybe next year I'll actually prepare for it. At least I have an idea of what the problems are like.