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# @details Evaluates to n! / (k! * (n - k)!) when k <= n and evaluates to zero when k > n.
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# @param _n total number of items
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# @param _k number of items that will be picked
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# @author https://github.com/SuperFola
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# @author https://github.com/SuperFola, https://github.com/kg583
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(let binomialCoeff (fun (_n _k)
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(if (<= _k _n)
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(/ (permutations _n _k) (factorial _k))
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# @details Evaluates to n! / (n - k)! when k <= n and evaluates to zero when k > n.
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# @param _n total number of items
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# @param _k number of items to pick
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# @author https://github.com/SuperFola
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# @author https://github.com/SuperFola, https://github.com/kg583
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(let permutations (fun ((mut _n) _k)
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(if (<= _k _n)
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{

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