Can we determine if a binomial coefficient $C(n,p)$ is even or odd, without calculating its value? ($p\lt n$, $p$ and $n$ are positive integers)
$C(n,p)$: even or odd?
18
$\begingroup$
binomial-coefficients
parity
-
10http://en.wikipedia.org/wiki/Lucas'_theorem – 2010-11-19
-
0Know someone say who is the author of the work contained in the file below? http://www.cs.columbia.edu/~cs4205/files/CM4.pdf – 2010-11-20