Visit our FULL SITE to order Print or eTextbooks About this resource vii About eBookPLUS and studyON x Acknowledgements xi Unit 1 Combinatorics, Vectors and Proof 1 Topic 1 Combinatorics 1 Permutations and combinations 1 1.1 Overview 1 1.2 Counting techniques 2 1.3 Factorials and permutations 14 1.4 Permutations with restrictions 21 1.5 Combinations 29 1.6 Applications of permutations and combinations 38 1.7 Pascals triangle and the pigeon-hole principle 45 1.8 Review: exam practice 52 Answers 54 Revision Unit 1 Combinatorics, vectors and proof Topic 1 Combinatorics 57 Topic 2 Vectors in the plane 2 Vectors in the plane 58 2.1 Overview 58 2.2 Vectors and scalars 59 2.3 Position vectors in the plane 67 2.4 Scalar multiplication of vectors 77 2.5 The scalar (dot) product 81 2.6 The projection of vectors scalar and vector resolutes 88 2.7 Review: exam practice 94 Answers 97 3
