Quantitative Aptitude | Questions
Permutations and Combinations questions with solutions
Permutations and Combinations is a Quantitative Aptitude topic for competitive exams. It appears across bank and railway exams. This page has 9 solved permutations and combinations questions written to the official pattern, with a worked solution under each.
- Question 1Easy
In how many ways can 3 people be chosen from a group of 8?
- A.42
- B.70
- C.62
- D.50
- E.56Correct
Show solution
This is 8C3 = 8!/(3!×5!) = 56.
- Question 2Moderate
In how many ways can 3 people be chosen from a group of 5?
- A.5
- B.3
- C.17
- D.15
- E.10Correct
Show solution
This is 5C3 = 5!/(3!×2!) = 10.
- Question 3Moderate
In how many ways can 3 people be chosen from a group of 7?
- A.19
- B.31
- C.39
- D.35Correct
- E.51
Show solution
This is 7C3 = 7!/(3!×4!) = 35.
- Question 4Moderate
In how many ways can 2 people be chosen from a group of 6?
- A.21
- B.15Correct
- C.8
- D.22
- E.9
Show solution
This is 6C2 = 6!/(2!×4!) = 15.
- Question 5Moderate
In how many ways can 2 people be chosen from a group of 9?
- A.22
- B.20
- C.52
- D.50
- E.36Correct
Show solution
This is 9C2 = 9!/(2!×7!) = 36.
- Question 6Moderate
In how many ways can 2 people be chosen from a group of 5?
- A.10Correct
- B.18
- C.16
- D.2
- E.4
Show solution
This is 5C2 = 5!/(2!×3!) = 10.
- Question 7Moderate
In how many ways can 2 people be chosen from a group of 8?
- A.30
- B.22
- C.34
- D.28Correct
- E.26
Show solution
This is 8C2 = 8!/(2!×6!) = 28.
- Question 8Hard
In how many ways can 3 people be chosen from a group of 6?
- A.32
- B.4
- C.36
- D.20Correct
- E.8
Show solution
This is 6C3 = 6!/(3!×3!) = 20.
- Question 9Hard
In how many ways can 3 people be chosen from a group of 9?
- A.100
- B.84Correct
- C.68
- D.78
- E.90
Show solution
This is 9C3 = 9!/(3!×6!) = 84.
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Frequently asked questions
How many Permutations and Combinations questions are here?
This page shows 9 worked permutations and combinations questions from a bank of 9, spanning 1 easy, 6 moderate and 2 hard. The full set is available to attempt in the timed-free practice drills and the mock tests.
Which exams ask Permutations and Combinations questions?
Permutations and Combinations is a standard Quantitative Aptitude topic across bank and railway recruitment exams.
Are these Permutations and Combinations questions free, and are the answers reliable?
Yes. Every question is free, written in-house to the exam pattern rather than copied from a real paper, and the numeric answer keys are recomputed independently at build time — a wrong key fails the build rather than reaching you.