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choose :: (Integral a) => a -> a -> a
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choose n k = product [k+1..n] `div` product [1..n-k]
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> 5 `choose` 3
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10
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choose :: (Integral a) => a -> a -> a
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choose n k = foldl (\z i -> (z * (n-i+1)) `div` i) 1 [1..k]
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coeffs = iterate next [1]
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where
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next ns = zipWith (+) (0:ns) $ ns ++ [0]
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main = print $ coeffs !! 5 !! 3
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