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Counting, permutations, and combinations

This course is a part of Statistics and probability, a 16-course Topic series from Khan Academy.

This unit covers methods for counting how many possible outcomes there are in various situations. We'll learn about factorial, permutations, and combinations. We'll also look at how to use these ideas to find probabilities.

This course contains 4 segments:

Counting principle and factorial

The counting principal tells us that we can multiply the number of choices together to get a count of the total possible outcomes. If you own two pairs of pants and three shirts, then you have six possible outfits.

Permutations

Permutations count how many ways you can select and arrange items or people from a larger group. For example, how many different ways can we award a gold, silver, and bronze medal to three runners out of a group of 10?

Combinations

Combinations are similar to permutations. Combinations count how many ways we can pick a group of people or things from a larger group where order doesn't matter. For example, how many different groups of 3 people can a company with 10 employees send on a business trip?

Combinatorics and probability

Once we understand the counting principle, permutations, and combinations, we can use those concepts to calculate some pretty advanced probabilities!

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Length 4 segments
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Language English
Subjects Mathematics Data Science
Tags Math Statistics and probability

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Khan Academy

Rating Not enough ratings
Length 4 segments
Starts On Demand (Start anytime)
Cost Free
From Khan Academy
Download Videos On all desktop and mobile devices
Language English
Subjects Mathematics Data Science
Tags Math Statistics and probability

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