Formulas and Functions

MULTINOMIAL
The MULTINOMIAL function returns the multinomial coecient of the given numbers.
It accomplishes this by determining the ratio of the factorial of the sum of the given
numbers to the product of the factorials of the given numbers.
MULTINOMIAL(non-neg-num, non-neg-num…)
 non-neg-num: A number. non-neg-num is a number value and must be greater
than or equal to 0.
 non-neg-num…:Optionally include one or more additional numbers.
Examples
=MULTINOMIAL(2) returns 1. The factorial of the 2 is 2. The product of 1 and 2 is 2. The ratio of 2:2 is 1.
=MULTINOMIAL(1, 2, 3) returns 60. The factorial of the sum of 1, 2, and 3 is 720. The product of the
factorials of 1, 2, and 3 is 12. The ratio of 720:12 is 60.
=MULTINOMIAL(4, 5, 6) returns 630630. The factorial of the sum of 4, 5, and 6 is 1.30767E+12. The
product of the factorials of 4, 5, and 6 is 2073600. The ratio of 1.30767E+12:2073600 is 630630.
Related Topics
For related functions and additional information, see:
“FACT” on page 174
“FACTDOUBLE” on page 175
“Listing of Numeric Functions” on page 167
“Value Types” on page 36
“The Elements of Formulas” on page 15
“Using the Keyboard and Mouse to Create and Edit Formulas” on page 26
“Pasting from Examples in Help” on page 41
184 Chapter 8 Numeric Functions