Wikipedia:Reference desk/Archives/Mathematics/2013 December 7
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December 7
[edit]When is N choose K divisible by P ?
[edit]When is divisible by P ? — 79.115.135.150 (talk) 23:11, 7 December 2013 (UTC)
![](http://upload.wikimedia.org/wikipedia/en/thumb/8/86/Pascal%27s_triangle_modulo_7.png/220px-Pascal%27s_triangle_modulo_7.png)
- See Lucas' theorem for one criterion. (This actually implies a pattern in Pascal's triangle modulo p that looks like a Sierpinski's triangle where at each stage you subdivide by p instead of 2.) Sławomir Biały (talk) 14:00, 8 December 2013 (UTC)