Mathematics: Analysis and Approaches · Topic 1: Number and algebra

AHL1.10 — Counting principles and the extended binomial theorem

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Counting principles

   The multiplication (product) rule and the addition rule for counting arrangements.

2. Permutations and combinations

   Ordered selections $^nP_r$ and unordered selections $^nC_r=\binom{n}{r}$.

3. Extended binomial theorem

   Extending $(a+b)^n$ to fractional and negative indices, $n\in\mathbb{Q}$.