CIE IAL · Mathematics · 9709 P5 · Permutations and combinations
Topic Questions: • understand the terms permutation and combination, and solve simple problems involving selections — 9709 P5 Permutations and combinations
68 9709 P5 Permutations and combinations topic questions are tagged to this syllabus point across 48 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Permutations and combinations syllabus point appears in 48 9709 P5 papers across 2020–2026, contributing 68 topic questions and 221 marks. The most recent appearance is 9709/51 May/June 2026. That equals 40.0% of the 170 topic questions and 43.7% of the 506 marks tagged to Permutations and combinations. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/51May/June 2026 · CIE IAL | Q5 Arrangements of Word RETRIEVES - CIE A-Level Maths 2023 |
FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2026 · CIE IAL | Q1 Team Selection Probability - CIE Mathematics 2024 Q1 |
FRQ | 2 parts ((a), (b)) | 6 | Medium | Go to Practice Hub |
| 9709/53May/June 2026 · CIE IAL | Q6 Letter Arrangements and Selections of POSSESSION - CIE A Level Mathematics 2026 Q6 |
FRQ | 1 of 3 parts ((c)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/55May/June 2026 · CIE IAL | Q7 Permutations and Grouping of Letters in CANADIANS - CIE A Level Maths 2026 Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/52March 2026 · CIE IAL | Q1 Committee Selection - CIE 9709 S1 2026 Mar Paper 52 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/51October/November 2025 · CIE IAL | Q7 SEYCHELLES Arrangements - CIE A-Level Maths 2025 Nov Paper 51 Q7 |
FRQ | 1 of 4 parts ((d)) | 3 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52October/November 2025 · CIE IAL | Q7 Permutations of ZOOLOGICAL - CIE A Level Maths Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/53October/November 2025 · CIE IAL | Q2 Splash Club Committee Selection - CIE 9709 2025 Nov Paper 53 Q2 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/55October/November 2025 · CIE IAL | Q5 Permutations and Combinations Athletes Selection - CIE 9709 Nov 2025 Paper 55 Q5 |
FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/51May/June 2025 · CIE IAL | Q5 Selecting Bands of Musicians - CIE S1 Q5 |
FRQ | 2 parts ((a), (b)) | 7 | Medium | Go to Practice Hub |
| 9709/52May/June 2025 · CIE IAL | Q4 Junction Turning Direction Probabilities - CIE A-Level Mathematics 2025 Jun Paper 52 Q4 |
FRQ | 1 of 3 parts ((a)) | 2 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2025 · CIE IAL | Q6 AMALGAMATE Word Arrangements - CIE A-Level Mathematics 2025 Jun Paper 52 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Hard | Go to Practice Hub |
| 9709/53May/June 2025 · CIE IAL | Q7 Group Arrangements and Selections - CIE A Level Mathematics 2025 Jun Paper 53 Q7 |
FRQ | 2 of 4 parts ((c), (d)) | 6 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/55May/June 2025 · CIE IAL | Q6 Darts Team Selection Combinations - CIE A Level Mathematics 2025 June Paper 55 Q6 |
FRQ | 3 of 4 parts ((a), (b), (c)) | 8 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2025 · CIE IAL | Q6 Permutations and Combinations of Book Colours - CIE 9709 March 2025 Paper 52 Q6 |
FRQ | 1 of 4 parts ((d)) | 4 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/51October/November 2024 · CIE IAL | Q7 Permutations and Combinations of INTELLECT - CIE A-Level Maths 2024 Nov Paper 51 Q7 |
FRQ | 1 of 3 parts ((c)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/52October/November 2024 · CIE IAL | Q5 Selection of Student Musicians - CIE S1 |
FRQ | 2 parts ((a), (b)) | 6 | Easy | Go to Practice Hub |
| 9709/53October/November 2024 · CIE IAL | Q6 Letter Permutations of HAPPINESS - CIE S1 |
FRQ | 1 of 4 parts ((d)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/51May/June 2024 · CIE IAL | Q7 Arrangements of Eight Digits - CIE Paper 51 2024 Jun Q7 |
FRQ | 1 of 3 parts ((c)) | 5 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/53May/June 2024 · CIE IAL | Q6 Arrangements of Letters in RECORDERS - CIE A-Level Maths 2024 Jun Paper 53 Q6 |
FRQ | 1 of 3 parts ((c)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/52March 2024 · CIE IAL | Q6 Village Social Club Permutations and Combinations - CIE A Level Maths 2024 Mar Paper 52 Q6 |
FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/51October/November 2023 · CIE IAL | Q6 Table Seating and Line Arrangements - CIE 9709 Nov 2023 Paper 51 Q6 |
FRQ | 1 of 3 parts ((a)) | 3 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/52October/November 2023 · CIE IAL | Q7 Arrangements of ANDROMEDA - CAIE A-Level Mathematics Q7 |
FRQ | 1 of 3 parts ((c)) | 4 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/53October/November 2023 · CIE IAL | Q6 Party Seating and Grouping Arrangements - CIE Mathematics 2023 Nov Paper 53 Q6 |
FRQ | 1 of 3 parts ((b)) | 5 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/51May/June 2023 · CIE IAL | Q2 Committee Selection with Restrictions - CIE S1 2023 Jun Q2 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/51May/June 2023 · CIE IAL | Q7 Free Gift Model Animals Probability - CIE S1 2023 Jun Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2023 · CIE IAL | Q6 Team Selection and Arrangements - CIE Mathematics 2023 Jun Paper 52 Q6 |
FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2023 · CIE IAL | Q7 Permutations of Letters with Restrictions in CASABLANCA - CIE A Level Mathematics |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2023 · CIE IAL | Q7 Arrangements and Selections of DELIVERED - CIE A Level Maths 2023 Mar Paper 52 Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 12 on the paper |
Hard | Go to Practice Hub |
| 9709/51October/November 2022 · CIE IAL | Q6 Social Club Committee and Group Arrangements - CIE S1 2022 Nov Paper 51 Q6 |
FRQ | 2 of 3 parts ((a), (b)) | 7 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52October/November 2022 · CIE IAL | Q7 Arrangements of ALLIGATOR - CIE A Level Maths 2022 Nov Paper 52 Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/53October/November 2022 · CIE IAL | Q6 Arrangements and Selections of ACTIVATED - CIE 9709 Nov 2022 Paper 53 Q6 |
FRQ | 1 of 3 parts ((c)) | 5 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2022 · CIE IAL | Q1 Arrangement of Letters in DECEIVED - CIE Mathematics 2022 Jun Paper 51 Q1 |
FRQ | 1 of 2 parts ((a)) | 2 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2022 · CIE IAL | Q2 Book Club Committee Selection - CIE Mathematics 2022 Jun Paper 51 Q2 |
FRQ | 2 parts ((a), (b)) | 6 | Easy | Go to Practice Hub |
| 9709/52May/June 2022 · CIE IAL | Q6 Permutations and Combinations of CROCODILE - CIE 9709 Statistics 1 2022 Jun Paper 52 Q6 |
FRQ | 2 of 4 parts ((c), (d)) | 6 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/53May/June 2022 · CIE IAL | Q7 Permutations and Combinations of Grouping and Seating - CIE A Level Maths 2022 Jun P53 Q7 |
FRQ | 3 of 4 parts ((a), (c), (d)) | 8 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2022 · CIE IAL | Q5 | FRQ | 2 of 3 parts ((a), (b)) | 6 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/51October/November 2021 · CIE IAL | Q5 Quiz Team Photograph Permutations - CIE A-Level Maths 2021 Q5 |
FRQ | 2 of 4 parts ((c), (d)) | 6 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/52October/November 2021 · CIE IAL | Q2 Selecting Committee with Restriction - CIE Permutations and Combinations Q2 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/53October/November 2021 · CIE IAL | Q1 Choosing People for Party - CIE A-Level Maths 2021 Nov Paper 53 Q1 |
FRQ | 1 part | 2 | Easy | Go to Practice Hub |
| 9709/51May/June 2021 · CIE IAL | Q1 Selections of Marbles by Colour - CIE A-Level Math 2021 Jun Paper 51 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/52May/June 2021 · CIE IAL | Q6 Arrangements of Word TOMORROW - CIE Probability & Statistics 1 Q6 |
FRQ | 1 of 3 parts ((c)) | 5 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/53May/June 2021 · CIE IAL | Q6 Permutations and Selections of REQUIREMENT - CIE Mathematics 2021 Jun Paper 53 Q6 |
FRQ | 1 of 4 parts ((d)) | 4 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/52March 2021 · CIE IAL | Q6 Arrangements of CATERPILLAR - CIE 9709 March 2021 Paper 52 Q6 |
FRQ | 1 of 3 parts ((c)) | 4 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/51October/November 2020 · CIE IAL | Q7 Letter Permutations of SHOPKEEPER - CIE Mathematics 2020 Nov Paper 51 Q7 |
FRQ | 1 of 4 parts ((d)) | 3 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/52October/November 2020 · CIE IAL | Q6 Group Selections and Line Permutations - CIE A-Level Mathematics 2020 Nov Paper 52 Q6 |
FRQ | 2 of 4 parts ((a), (b)) | 5 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/53October/November 2020 · CIE IAL | Q3 Committee Selection with Restrictions - CIE 9709 W20 P53 Q3 |
FRQ | 2 parts ((a), (b)) | 6 | Medium | Go to Practice Hub |
| 9709/51May/June 2020 · CIE IAL | Q4 Musician Selection Combinations - CIE A-Level Maths 2020 Jun Paper 51 Q4 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/52May/June 2020 · CIE IAL | Q6 SUMMERTIME Permutations and Combinations - CIE A-Level Maths 2020 Jun Paper 52 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2020 · CIE IAL | Q7 Permutations of the Word CELESTIAL - CIE A-Level Maths 2020 Jun Paper 53 Q7 |
FRQ | 1 of 4 parts ((d)) | 3 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/52March 2020 · CIE IAL | Q1 Coach and Car Travel Selection - CIE 9709 S1 2020 Mar Paper 52 Q1 |
FRQ | 1 part | 3 | Medium | Go to Practice Hub |
Related topic questions in Permutations and combinations
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 51 question stems cover this subtopic across 48 papers, but only 68 tagged parts and 221 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.