Difference between revisions of "Manuals/calci/COMBINATIONS"
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*In <math>COMBINATIONS (Array,HowMany)</math>,<math>Array</math> is the set of numbers and <math>Howmany</math> is the described number of choice. | *In <math>COMBINATIONS (Array,HowMany)</math>,<math>Array</math> is the set of numbers and <math>Howmany</math> is the described number of choice. | ||
*The number of ways of picking k unordered outcomes from n possibilities. | *The number of ways of picking k unordered outcomes from n possibilities. | ||
| − | *Also known as the binomial coefficient or choice number and read "n choose k," <math>\binom{n}{k}= \frac{n!}{k!(n-k)!}</math> nck= Formula. | + | *Also known as the binomial coefficient or choice number and read "n choose k," <math>_nC_k =\binom{n}{k}= \frac{n!}{k!(n-k)!}</math> nck= Formula. |
*Here COMBINATIONS shows the choices of the selected objects. | *Here COMBINATIONS shows the choices of the selected objects. | ||
Revision as of 15:06, 22 December 2016
COMBINATIONS (Array,HowMany)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array } is the set of numbers.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle HowMany} is the number of choices.
Description
- This function shows the combination of the given numbers.
- A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle COMBINATIONS (Array,HowMany)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array} is the set of numbers and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Howmany} is the described number of choice.
- The number of ways of picking k unordered outcomes from n possibilities.
- Also known as the binomial coefficient or choice number and read "n choose k," Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle _nC_k =\binom{n}{k}= \frac{n!}{k!(n-k)!}} nck= Formula.
- Here COMBINATIONS shows the choices of the selected objects.