MULTINOMIAL (First, Other...) MULTINOMIAL (First; Other...)

First

The first number or array of numbers.

Other

Additional numbers or arrays of numbers.

Returns

Number Number

A ratio.

Returns the factorial of the sum of a set of numbers divided by the product of the factorials of the same numbers. This is the number of ways of dividing a set of items into groups of the given sizes.

Examples

MULTINOMIAL (1, 2)
MULTINOMIAL (1; 2)

Returns 3 ( (1 + 2)! / (1! * 2!) ).

MULTINOMIAL ({ 1 }, 2)
MULTINOMIAL ({ 1 }; 2)

Returns 3 ( (1 + 2)! / (1! * 2!) ).

MULTINOMIAL ({ 1 }, { 2 })
MULTINOMIAL ({ 1 }; { 2 })

Returns 3 ( (1 + 2)! / (1! * 2!) ).

MULTINOMIAL ({ 1, 2 })
MULTINOMIAL ({ 1; 2 })

Returns 3 ( (1 + 2)! / (1! * 2!) ).

MULTINOMIAL (2, 3, 4)
MULTINOMIAL (2; 3; 4)

Returns 1260, the number of ways of dividing nine people into groups of two, three and four people.

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