Topic 04Mathematics: Analysis and Approaches
A.4 Binomial Theorem and Counting
Use Pascal's triangle and the binomial theorem to expand (a+b)^n and target specific terms; apply counting principles, permutations, combinations, and the extended binomial theorem (HL).
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Pascal's triangle and the binomial theoremSign up
Pascal's Triangle → Binomial Theorem · The (r+1)th term — surgical extraction
35 min
Counting principles, permutations, combinations, and the extended binomial theoremHLSign up
AND multiplies. OR adds. · Permutations vs Combinations · Extended binomial — fractional and negative powers
50 min
Partial fractionsHLSign up
Partial fraction decomposition (distinct linear factors)
25 min