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| author | Paul Jungeblut <paul.jungeblut@gmail.com> | 2017-10-31 22:17:14 +0100 |
|---|---|---|
| committer | Paul Jungeblut <paul.jungeblut@gmail.com> | 2017-10-31 22:17:14 +0100 |
| commit | 899ad545406e3e4aa7a18089383a2113f2260f08 (patch) | |
| tree | 7b4dd6165a2a046ed48f3fd8905f3298e5558f8b /math | |
| parent | ca782cdf2cfe011a7fb73b8b8299cc614c8af251 (diff) | |
Adding another formular to count the number of derangements.
Diffstat (limited to 'math')
| -rw-r--r-- | math/math.tex | 4 |
1 files changed, 3 insertions, 1 deletions
diff --git a/math/math.tex b/math/math.tex index 54f2a38..8fc408c 100644 --- a/math/math.tex +++ b/math/math.tex @@ -559,9 +559,11 @@ Anzahl der Teilmengen von $\mathbb{N}$, die sich zu $n$ aufaddieren mit maximale \#Wälder mit $k$ gewurzelten Bäumen & $\frac{k}{n}\binom{n}{k}n^{n-k}$ \\ - Dearangements & + Derangements & $!n = (n - 1)(!(n - 1) + !(n - 2))$ \\ & + $!n = \left\lfloor\frac{n!}{e} + \frac{1}{2}\right\rfloor$ \\ + & $\lim\limits_{n \to \infty} \frac{!n}{n!} = \frac{1}{e}$ \\ \bottomrule \end{tabular} |
