Question

a fitness coach needs to use 3 different exercises from a list of 25 in a workout. How many different groups of 3 exercises can she choose?

Answer 1

This is a combination problem, where order doesn't matter.

We want to find the number of ways to choose 3 exercises from a list of 25, which is denoted as 25C3.

This is also equal to (252423) / (321) which is equal to 2300.

Therefore, there are 2300 different groups of 3 exercises the fitness coach can choose from the list of 25 exercises.

Explanation: