Cambridge Maths Academy

Pure mathematics Year 1 Table of contents Introduction Factorial $n!$ and arrangements Permutations (${}_nP_r$) Combination: n choose r An alternative derivation of the formula for 'n choose r' 0! = 1 revisited Pascal's triangle using combinations Examples Edexcel P1 Ch8 Exercise 8B 1. Introduction While Pascal's triangle is a convenient tool, for large values of the index, $n$, it takes a long ..

Pure mathematics Year 1 Table of contents Binomial, trinomial and polynomial Binomial expansion Pascal's triangle Examples Edexcel P1 Ch8 Exercise 8A 1. Binomial, trinomial and polynomial The binomial expansion tells us how to expand $(a+b)^n$. The word 'bi-nomial' means 'two terms' - here, they are $a$ and $b$. Similarly, monomial means 'one term', trinomial means 'three terms' and polynomial m..

Pure mathematics Year 1 Here's a short introduction to Pure maths 1 Chapter 8 The Binomial expansion. 8.1 Pascal's triangle: Use Pascal's triangle to identify binomial coefficients and use them to expand simple binomial expressions. 8.2 Factorial notation: Use combinations and factorial notation. 8.3 The binomial expansion: Use the binomial expansion to expand brackets. 8.4 Solving binomial prob..