Manuals/calci/MULTINOMIAL

MULTINOMIAL(x1,x2,..)

• $x_{1},x_{2},...,$ are 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:

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 MULTINOMIAL(x_1,x_2,..x_n)=\frac{(x_1+x_2+…+x_n)!}{x_1!x_2!..x_n!}} 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 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 MULTINOMIAL(x_1,x_2...)} , 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 x_1} is required. 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 x_2,x_3...} are optional.

ZOS

• The syntax is to calculate multinomial in ZOS is 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 MULTINOMIAL(x1,x2,...)} .
  • 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 x_1,x_2,..., } are numbers

Examples

1. =MULTINOMIAL(10,11) = 352716
2. =MULTINOMIAL(2,3,4,5) = 2522520
3. =MULTINOMIAL(0,1.2,1.3,1.4,1.5) = 24
4. =MULTINOMIAL(0,-1,2) = NAN

Related Videos

MULTINOMIAL

See Also

• FACT

References

Multinomial_distribution

• List of Main Z Functions

• Z3 home