From the course: Everyday Statistics, with Eddie Davila

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Combinations

Combinations

From the course: Everyday Statistics, with Eddie Davila

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Combinations

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- [Instructor] When we're working on projects, finding the perfect combination of team members is often difficult. We have a core group of people we love to work with, but sometimes we don't have much control over who ends up on our team. For example, suppose we have a class of nine graduate students. The professor will randomly split up the class into three groups, each with three people. Ava wants to be on a team with her two friends, Elijah and Emma. What are the odds Ava gets the exact team she wants? Well, Ava is definitely getting on a team, her team. So the question is, who will fill up the other two spots on the team? There are eight other people in the class. How many different combinations of two people are there to fill those last two spots? We'll use this formula. n is the total number of students left in the class, eight. r is the number of available slots on Ava's team, two. So we get eight factorial…

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