Combinations and permutations: Difference between revisions
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{{task|Probability and statistics}}{{task|Discrete math}} |
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{{wikipedia|Combination}} {{wikipedia|Permutation}} |
{{wikipedia|Combination}} {{wikipedia|Permutation}} |
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;Task: |
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Implement the [[wp:Combination|combination]] (<sup>n</sup>C<sub>k</sub>) and [[wp:Permutation|permutation]] (<sup>n</sup>P<sub>k</sub>) operators in the target language: |
Implement the [[wp:Combination|combination]] (<sup>n</sup>C<sub>k</sub>) and [[wp:Permutation|permutation]] (<sup>n</sup>P<sub>k</sub>) operators in the target language: |
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* <math>^n\operatorname C_k =\binom nk = \frac{n(n-1)\ldots(n-k+1)}{k(k-1)\dots1} </math> |
* <math>^n\operatorname C_k =\binom nk = \frac{n(n-1)\ldots(n-k+1)}{k(k-1)\dots1} </math> |
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See the wikipedia articles for a more detailed description. |
See the wikipedia articles for a more detailed description. |
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To test, generate and print examples of: |
'''To test''', generate and print examples of: |
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* A sample of permutations from 1 to 12 and Combinations from 10 to 60 using exact Integer arithmetic. |
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* |
* A sample of permutations from 5 to 15000 and Combinations from 100 to 1000 using approximate Floating point arithmetic.<br> This 'floating point' code could be implemented using an approximation, e.g., by calling the [[Gamma function]]. |
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This 'floating point' code could be implemented using an approximation, e.g., by calling the [[Gamma function]]. |
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'''See Also:''' |
'''See Also:''' |
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* [[Evaluate binomial coefficients]] |
* [[Evaluate binomial coefficients]] |
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{{Template:Combinations and permutations}} |
{{Template:Combinations and permutations}} |
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=={{header|ALGOL 68}}== |
=={{header|ALGOL 68}}== |
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{{works with|ALGOL 68|Revision 1 - one minor extension to language used - PRAGMA READ, similar to C's #include directive.}} |
{{works with|ALGOL 68|Revision 1 - one minor extension to language used - PRAGMA READ, similar to C's #include directive.}} |
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