Permutations and Combinations in Combinatorics | Formulas, Factorials & Examples

In this video, we explore the difference between permutations and combinations and learn how to count arrangements in various situations.

We begin with permutations, showing how to find all ordered arrangements of n items taken r at a time. Along the way, we review factorials, including zero factorial (0!), and practice applying the permutation formula with examples.

Next, we introduce combinations and practice using the combinations formula to count unordered selections.

Finally, we tackle more advanced combinatorics problems, including:

Arrangements of letters in words with repeating letters
Arranging students in a line when two must stay together
Counting numbers divisible by multiple factors

This tutorial is perfect for students learning:

The difference between permutations and combinations
How to apply factorials in counting problems
Using formulas for permutations and combinations
Solving real-world combinatorics problems

By the end of this video, you’ll have the tools to confidently tackle all types of counting and arrangement problems.

Thank You for your Support!
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For Practice: https://www.khanacademy.org/math/statistics-probability/counting-permutations-and-combinations

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