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# nCk assuming n >= k
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def binomial(n; k):
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if k > n / 2 then binomial(n; n-k)
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else reduce range(1; k+1) as $i (1; . * (n - $i + 1) / $i)
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end;
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def task:
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.[0] as $n | .[1] as $k
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| "\($n) C \($k) = \(binomial( $n; $k) )";
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;
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([5,3], [100,2], [ 33,17]) | task
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