Grouping Factor Calculator

Formula

The formula to calculate the Grouping Factor (GF) is:

$$ GF = \frac{n!}{k! \cdot (n - k)!} $$

Where:

$$ GF $$ is the Grouping Factor
$$ n $$ is the total number of items
$$ k $$ is the group size

What is Grouping Factor?

The grouping factor, also known as a combination or binomial coefficient, represents the number of ways to choose a subset of items from a larger set, where the order of selection does not matter.

Example Calculation

Let's calculate the Grouping Factor for a set of items:

Total Number of Items (n): 8
Group Size (k): 3

Step 1: Calculate the Grouping Factor (GF):

$$ GF = \frac{8!}{3! \cdot (8 - 3)!} = \frac{40320}{6 \cdot 120} = 56 $$

Therefore, the Grouping Factor (GF) is 56.