Difference between revisions of "Manuals/calci/MULTINOMIAL"
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| − | <div style="font-size:30px">'''MULTINOMIAL( | + | <div style="font-size:30px">'''MULTINOMIAL()'''</div><br/> |
| − | * | + | *Parameters are any set of numbers. |
| + | **MULTINOMIAL(),returns the multinomial of a set of numbers. | ||
==Description== | ==Description== | ||
| Line 6: | Line 7: | ||
*Multinomial means the ratio of the factorial of a sum of values to the product of factorials. | *Multinomial means the ratio of the factorial of a sum of values to the product of factorials. | ||
*Multinomial of n set of numbers is defined by: | *Multinomial of n set of numbers is defined by: | ||
| − | <math> MULTINOMIAL(x_1,x_2,..x_n)=\frac{(x_1+x_2+ | + | <math> MULTINOMIAL(x_1,x_2,..x_n)</math>=<math>\frac{(x_1+x_2+...+x_n)!}{x_1!x_2!..x_n!}</math> |
This function gives the result as error when | This function gives the result as error when | ||
1.Any one of the argument is non-numeric. | 1.Any one of the argument is non-numeric. | ||
2.Any one of the argument is < 0. | 2.Any one of the argument is < 0. | ||
| − | *In <math>MULTINOMIAL( | + | *In <math>MULTINOMIAL()</math>, First Parameter is required. From the second parameter are optional. |
==ZOS== | ==ZOS== | ||
| − | *The syntax is to calculate multinomial in ZOS is <math>MULTINOMIAL( | + | *The syntax is to calculate multinomial in ZOS is <math>MULTINOMIAL()</math>. |
| − | ** | + | **Parameters are any set of numbers. |
==Examples== | ==Examples== | ||
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#=MULTINOMIAL(2,3,4,5) = 2522520 | #=MULTINOMIAL(2,3,4,5) = 2522520 | ||
#=MULTINOMIAL(0,1.2,1.3,1.4,1.5) = 24 | #=MULTINOMIAL(0,1.2,1.3,1.4,1.5) = 24 | ||
| − | #=MULTINOMIAL(0,-1,2) = | + | #=MULTINOMIAL(0,-1,2) = #N/A (NUMBER < 0) |
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| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|fGoEwyvTIkc|280|center|MULTINOMIAL}} | ||
==See Also== | ==See Also== | ||
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==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Multinomial_distribution Multinomial_distribution] | [http://en.wikipedia.org/wiki/Multinomial_distribution Multinomial_distribution] | ||
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| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 08:34, 9 June 2020
MULTINOMIAL()
- Parameters are any set of numbers.
- MULTINOMIAL(),returns the multinomial of a set of numbers.
Description
- This function gives the Multinomial of the values.
- Multinomial means the ratio of the factorial of a sum of values to the product of factorials.
- Multinomial of n set of numbers is defined by:
= This function gives the result as error when
=
This function gives the result as error when
1.Any one of the argument is non-numeric. 2.Any one of the argument is < 0.
- In , First Parameter is required. From the second parameter are optional.
, First Parameter is required. From the second parameter are optional.ZOS
- The syntax is to calculate multinomial in ZOS is .
- Parameters are any set of numbers.
Examples
- =MULTINOMIAL(10,11) = 352716
- =MULTINOMIAL(2,3,4,5) = 2522520
- =MULTINOMIAL(0,1.2,1.3,1.4,1.5) = 24
- =MULTINOMIAL(0,-1,2) = #N/A (NUMBER < 0)
Related Videos
See Also
References