MULTINOMIAL Google Sheet Formula

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MULTINOMIAL Formula Syntax

=MULTINOMIAL(2, 3, 4)

Example Use Case

Calculating the multinomial coefficient for probability distributions

Understanding the MULTINOMIAL Formula

The MULTINOMIAL function in Excel computes the multinomial coefficient, representing the number of ways to partition a set into distinct groups. It’s a combinatorial tool for probability, statistics, or allocation problems, extending beyond simple combinations.

MULTINOMIAL(2, 3, 4) returns 1260, calculating (2+3+4)! / (2! × 3! × 4!). It takes multiple arguments (summed total), offering a way to count arrangements—like distributing tasks or outcomes in a multinomial distribution.

Why Use MULTINOMIAL?

MULTINOMIAL tackles complex groupings—think election vote splits or resource distribution. It’s a stats essential, automating factorial ratios for scenarios with multiple categories, saving time on intricate probability math.

Example with Sample Data

GroupsFormulaResult
2, 3, 4=MULTINOMIAL(2, 3, 4)1260
1, 1, 1=MULTINOMIAL(1, 1, 1)6
5, 2=MULTINOMIAL(5, 2)21

MULTINOMIAL counts partitions: 2, 3, 4 gives 1260 ways. It’s a combinatorial calculator.

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