File:Kombinationen und Variationen.png
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Summary[edit]
| Description |
English: Number of k-combinations without & with repetitions, k-permutations without & with repetitions, and of partial derangements of 10 elements, in latter case with k as the number of elements changing their place
Deutsch: Zahl der Kombinationen ohne und mit Wiederholung, Variationen ohne und mit Wiederholung sowie partiellen Derangements von 10 Elementen, im letzterer Fall mit k als der Zahl der Elemente, die ihre Plätze wechseln |
| Date | |
| Source | Own work |
| Author | Qniemiec |
| k | K(10;k) Kombination ohne Wiederholung |
K*(10;k) Kombination mit Wiederholung |
D(10;10-k) Partielles Derangement |
V(10;k) Variation ohne Wiederholung |
V*(10;k) Variation mit Wiederholung |
|---|---|---|---|---|---|
| 0 | 1 | 1 | 1 | 1 | 1 |
| 1 | 10 | 10 | 0 | 10 | 10 |
| 2 | 45 | 55 | 45 | 90 | 100 |
| 3 | 120 | 220 | 240 | 720 | 1000 |
| 4 | 210 | 715 | 1890 | 5040 | 10000 |
| 5 | 252 | 2002 | 11088 | 30240 | 100000 |
| 6 | 210 | 5005 | 55650 | 151200 | 1000000 |
| 7 | 120 | 11440 | 222480 | 604800 | 10000000 |
| 8 | 45 | 24310 | 667485 | 1814400 | 100000000 |
| 9 | 10 | 48620 | 1334960 | 3628800 | 1000000000 |
| 10 | 1 | 92378 | 1334961 | 3628800 | 10000000000 |
| 11 | 167960 | 1E+11 | |||
| 12 | 293930 | 1E+12 | |||
| 13 | 497420 | 1E+13 | |||
| 14 | 817190 | 1E+14 | |||
| 15 | 1307504 | 1E+15 | |||
| 16 | 2042975 | 1E+16 | |||
| 17 | 3124550 | 1E+17 | |||
| 18 | 4686825 | 1E+18 | |||
| 19 | 6906900 | 1E+19 | |||
| 20 | 10015005 | 1E+20 |
See also: File:Permutationen und Derangements.png
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:19, 15 May 2011 | | 640 × 400 (3 KB) | Qniemiec (talk | contribs) | {{Information |Description ={{en|1=Number of k-combinations without & with repetitions, k-permutations without & with repetitions, and of partial derangements of 10 elements, in latter case with k as the number of elements changing their place}} {{de|1 |
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