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author | Paul Duncan <pabs@pablotron.org> | 2022-11-19 17:06:00 -0500 |
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committer | Paul Duncan <pabs@pablotron.org> | 2022-11-19 17:06:00 -0500 |
commit | a547b7169b6db11d13a9b737c30fe1def55f994e (patch) | |
tree | 4b487860010009351438647a29f6f45d0d3f8a13 /static/files | |
parent | a07fb6643a8bc67dc8be81eb05f9a41621432f10 (diff) | |
download | pablotron.org-a547b7169b6db11d13a9b737c30fe1def55f994e.tar.bz2 pablotron.org-a547b7169b6db11d13a9b737c30fe1def55f994e.zip |
add articles/combinations-and-permutations.md
Diffstat (limited to 'static/files')
4 files changed, 38 insertions, 0 deletions
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\ No newline at end of file diff --git a/static/files/articles/combinations-and-permutations/definitions.tex b/static/files/articles/combinations-and-permutations/definitions.tex new file mode 100644 index 0000000..6e81668 --- /dev/null +++ b/static/files/articles/combinations-and-permutations/definitions.tex @@ -0,0 +1,18 @@ +\begin{array}{|c|c|c|c|} +\hline + \text{Denoted} & + \text{Read As} & + \text{Formula} & + \text{Example} \\ +\hline + n! & + \text{"N factorial"} & + n! = \prod_{i=1}^n{i} & + 5! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120 \\ +\hline + {n \choose k} & + \text{"N choose K"} & + {n \choose k} = \frac{n!}{k!(n - k)!} & + {5 \choose 3} = \frac{5!}{3!(5 - 3)!} = 10\\ +\hline +\end{array} diff --git a/static/files/articles/combinations-and-permutations/formulas.svg b/static/files/articles/combinations-and-permutations/formulas.svg new file mode 100644 index 0000000..06cb1b1 --- /dev/null +++ b/static/files/articles/combinations-and-permutations/formulas.svg @@ -0,0 +1 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\ No newline at end of file diff --git a/static/files/articles/combinations-and-permutations/formulas.tex b/static/files/articles/combinations-and-permutations/formulas.tex new file mode 100644 index 0000000..b7a67ec --- /dev/null +++ b/static/files/articles/combinations-and-permutations/formulas.tex @@ -0,0 +1,18 @@ +\begin{array}{|l|c|c|c|} +\hline + \text{Name} & + \text{Ordered} & + \text{With Repetition} & + \text{Without Repetition} \\ +\hline + \text{Permutation} & + \text{Yes} & + n^k & + \frac{n!}{(n - k)!} \\ +\hline + \text{Combination} & + \text{No} & + {n + k - 1 \choose k} & + {n \choose k} \\ +\hline +\end{array} |