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 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..