Question

from 5 employees at a company a group of 3 employees will be chosen to work on a project. how many different groups of 3 employees can be choosen?

Answer 1

To find the number of different groups of 3 employees that can be chosen from 5 employees, you use the combination formula, which yields 10 different groups.

Step-by-step explanation:

To determine how many different groups of 3 employees can be chosen from 5 employees, we will use the concept of combinations in mathematics. A combination is a selection of items from a larger pool where the order does not matter. The formula for finding the number of combinations is given by:

C(n,r) = n! / [r!(n-r)!]

Where:

C(n, r) is the number of combinations,

n is the total number of items to choose from,

r is the number of items to choose,

n! is the factorial of n,

r! is the factorial of r, and

(n-r)! is the factorial of the difference between n and r.

In this case, we want to find C(5, 3):

C(5, 3) = 5! / [3!(5-3)!]

C(5, 3) = (5 × 4 × 3 × 2 × 1) / [(3 × 2 × 1)(2 × 1)]

C(5, 3) = (120) / [(6)(2)]

C(5, 3) = 120 / 12

C(5, 3) = 10

Therefore, there are 10 different groups of 3 employees that can be chosen from a total of 5 employees.

Answer 2

The answer to the math question presented above would be 10. From 5 employees at a company a group of 3 employees will be chosen to work on a project, the number of different groups of 3 employees can be chosen is 10. You can have 10 different groups of threes in 5 employees.