Free Permutations & combinations questions for IGCSE Additional Mathematics (0606), part of Series & counting. Each question has the answer and the marking points an examiner would look for.
Generate a full Permutations & Combinations worksheet →All Series & counting questionsThe letters of the word GARDEN are arranged.
Find the number of different arrangements.
Find the number of arrangements that begin and end with a vowel.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 720 720 B1 | 1 |
| (b) | 48 2 × 4! = 48 M1 48 A1 | 2 |
A team of 4 is to be chosen from 9 people, including Ali and Bea.
Find the number of different teams.
Find the number of teams that include Ali but not Bea.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 126 126 B1 | 1 |
| (b) | 35 7C3 M1 35 A1 | 2 |
Find the number of different arrangements of the 7 letters of the word CLOTHES.
Find the number of these arrangements that begin and end with a consonant.
A team of 4 is chosen from 7 boys and 4 girls. Find the number of teams with exactly 2 girls.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 5040 5040 B1 | 1 |
| (b) | 2400 5 × 4 × 5! M1 2400 A1 | 2 |
| (c) | 126 7C2 × 4C2 M1 126 A1 | 2 |
The letters of the word PENCIL are arranged.
Find the number of different arrangements.
Find the number of arrangements that begin and end with a vowel.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 720 720 B1 | 1 |
| (b) | 48 2 × 4! = 48 M1 48 A1 | 2 |
A team of 3 is to be chosen from 7 people, including Ali and Bea.
Find the number of different teams.
Find the number of teams that include Ali but not Bea.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 35 35 B1 | 1 |
| (b) | 10 5C2 M1 10 A1 | 2 |
Find the number of different arrangements of the 7 letters of the word CLOTHES.
Find the number of these arrangements that begin and end with a consonant.
A team of 4 is chosen from 5 boys and 4 girls. Find the number of teams with exactly 2 girls.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 5040 5040 B1 | 1 |
| (b) | 2400 5 × 4 × 5! M1 2400 A1 | 2 |
| (c) | 60 5C2 × 4C2 M1 60 A1 | 2 |
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Meet Riyaz →Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in