MULTINOMIAL Google Sheet Formula
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MULTINOMIAL Formula Syntax
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
| Groups | Formula | Result |
|---|---|---|
| 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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