MathDB

44

Part of 1990 IMO Longlists

Problems(1)

Number of odd integers among binomial coefficients

Source:

9/18/2010
Prove that for any positive integer nn, the number of odd integers among the binomial coefficients (nh) (0≤h≤n)\binom nh \ ( 0 \leq h \leq n) is a power of 2.
geometry3D geometrypyramidsymmetrybinomial coefficientsPascal's Triangle