Curriculum · Counting & Probability · Permutations & Combinations
The Binomial Theorem
Pascal's triangle, binomial identities, and coefficient extraction.
Objectives
- Expand with the binomial theorem
- Prove identities combinatorially
- Extract coefficients
The full interactive edition of this lesson ships in v1.5. The topic is live everywhere else — the problems below feed your Permutations & Combinations mastery now.
Train the topic
●●○○○How many distinct arrangements does the word LEVEL have?AMC 8 style●●○○○A club of students chooses a committee of . How many committees are possible?AMC 8 style●●●○○Six people sit around a round table. Two of them insist on sitting together. How many seatings are there, if rotations are considered identical?AMC 10 style●●●○○How many lattice paths go from to using only unit steps right and up?AMC 10 style