AHL 1.10 (HL)—Counting and extended binomial theorem Topic Practice
AHL 1.10 (HL)—Counting and extended binomial theorem Topic Practice
Practise counting arrangements, selections, grouped cases and extended binomial expansions, including coefficients from negative or fractional powers.
How this is tested
- decide when order matters: use nPr for named roles and nCr for selecting remaining committee members
- split arrangements into cases, multiply valid orders, then subtract restricted cases
- form expansions such as (1-x^2)^(-1/2) and equate the x^6 coefficient to solve for a constant