plumiCounting and combinatorics: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 7.7 Counting and combinatorics, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 5 questions on Counting and combinatorics, as a list
- June 2025, Further Pure 2, Q5 (10 marks): (i) A password is to be created from 5 characters using the following criteria • one capital letter • 3 distinct single digits • one of the four symbols @ £ $ &
- June 2023, Further Pure 2, Q5 (8 marks): (i) A security code is made up of 4 numerical digits followed by 3 distinct uppercase letters. Given that the digits must be from the set {1, 2, 3, 4, 5} and th
- June 2022, Further Pure 2, Q7 (8 marks): (i) The polynomial F(x) is a quartic such that F(x) = px 4 + qx 3 + 2x 2 + rx + s where p, q, r and s are distinct constants. Determine the number of possible q
- November 2020, Further Pure 2, Q1 (6 marks): A small sports club has 12 adult members and 14 junior members. The club needs to enter a team of 8 players for a particular competition. Determine the number o
- June 2019, Further Pure 2, Q4 (12 marks): (i) Use Fermat’s Little Theorem to find the least positive residue of 6PRGXOR (5) (ii) Seven students, Alan, Brenda, Charles, Devindra, Enid, Felix and G
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