MathDB
Putnam 2004 A1

Source:

December 11, 2004
Putnaminductioninequalitiespercentcollege contestsPutnam easy

Problem Statement

Basketball star Shanille O'Keal's team statistician keeps track of the number, S(N),S(N), of successful free throws she has made in her first NN attempts of the season. Early in the season, S(N)S(N) was less than 80% of N,N, but by the end of the season, S(N)S(N) was more than 80% of N.N. Was there necessarily a moment in between when S(N)S(N) was exactly 80% of NN?
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