In both Excel and Google Sheets, the multinomial function facilitates calculations by considering a series of factorial values of the given numbers. This function is particularly useful in statistics, probability calculations, and various mathematical analyses.

Syntax of the Multinomial Function

MULTINOMIAL(number1, [number2], ...)

• number1, number2, …: These arguments are the numerical values used in the calculation. At least one value must be provided, but the function can accept multiple values.

Example Usage:

=MULTINOMIAL(3, 2, 1)

This example returns the multinomial value for the arguments 3, 2, and 1. Mathematically, it is calculated as (3+2+1)! / (3! * 2! * 1!) = 60.

First Application Example

Problem: A group needs to be assigned to three different projects, with 3, 2, and 1 persons respectively. How many different ways can these assignments be made?

Solution:

=MULTINOMIAL(3, 2, 1)

This formula calculates the number of different ways the person assignments can be made to the projects.

Second Application Example

Problem: In an exam consisting of 10 questions, a student answers 5 questions correctly, 3 incorrectly, and leaves 2 unanswered. In how many different ways can these outcomes be arranged?

Solution:

=MULTINOMIAL(5, 3, 2)

This formula is used to calculate the different arrangements of the given answer distribution.

The multinomial function can be utilized in various scenarios as described above, especially in situations requiring combinations and permutations, making it a highly functional tool.

Daha fazla bilgi: https://support.microsoft.com/tr-tr/office/çokterİmlİ-işlevi-6fa6373c-6533-41a2-a45e-a56db1db1bf6