All mind maps topics

CombinatoricsEdexcel A-Level Further Maths: Mind map

What this mind map covers

  • Multiplicative principle
  • Permutations
  • Combinations
  • Subsets
  • Addition and subtraction
  • Exam tips

Exam questions on Combinatorics

  1. A club has 12 members and needs to choose a committee from them.
    The club president is one of the 12 members. Find the number of committees of 4 members, with no special roles, that include the president.2 marks
  2. Four-digit PINs are made from the digits 00 to 99. A PIN may begin with 00.
    Find the number of PINs that contain the digit 77 at least once.2 marks
  3. A football squad has 21 players: 2 goalkeepers and 19 outfield players. A team of 11 players is to be selected.
    Find the number of different teams, with positions ignored, that contain exactly one goalkeeper.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).