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Number of odd integers among binomial coefficients

Source:

September 18, 2010
geometry3D geometrypyramidsymmetrybinomial coefficientsPascal's Triangle

Problem Statement

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.
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