Counting Principles | Precalculus (2026 Update)

In this lesson, 8.5 Counting Principles, we cover counting principles, including simple counting problems, the Fundamental Counting Principle, permutations, and combinations. We compare situations where order matters versus where order does not matter, then use formulas to solve common counting problems. 🔗 Visit www.clopensets.com for full class videos, guided notes, and printable worksheets that go along with this lesson. 🔗 ClopenSets shop: https://www.etsy.com/shop/Clopensets #education #maths #math #highschoolmath #highschool Chapters 00:00 Counting principles 00:01 Lesson goals 00:11 Simple counting problem with replacement 01:14 Drawing two papers at the same time 02:28 Fundamental Counting Principle 03:05 Counting pairs of letters 03:44 Telephone number possibilities 04:47 Permutations 05:46 Horse race finishes 06:19 Permutation formula 07:37 Combinations 08:29 Combination formula example 09:21 Poker hand combinations