Accuplacer Practice Test 2025 - Free Accuplacer Practice Questions and Study Guide.

To determine how many different groups of 3 employees can be formed from a total of 5 employees, you can use the concept of combinations. The formula for combinations is given by:

\[ C(n, r) = \frac{n!}{r!(n - r)!} \]

where \( n \) is the total number of items to choose from (in this case, employees), \( r \) is the number of items to choose (here, the group size), and \( ! \) denotes factorial, which is the product of all positive integers up to that number.

In this scenario, you have 5 employees and you want to choose 3:

1. Identify \( n \) and \( r \):

- \( n = 5 \) (the employees)

- \( r = 3 \) (the number of employees in each group)

2. Substitute into the formula:

\[

C(5, 3) = \frac{5!}{3!(5 - 3)!} = \frac{5!}{3! \times 2!}

\]

3. Calculate the factorials:

- \( 5! = 5 \times 4