1. How many ways can 2 items be arranged (in order) from a set of 5 distinct items? (i.e., what is P(5,2))
- A20
- B15
- C25
- D30
Show answer
Answer: A
P(n,r) = n!/(n-r)!. Here, P(5,2) = 5!/(5-2)! = 20.
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Permutation & Combination — SSC Questions & Practice
Practise 18 Permutation & Combination questions from SSC for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.
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Practice questions on Permutation & Combination — with answers
Try each question first, then open the answer. Explanations are included.
2. How many ways can 3 items be arranged (in order) from a set of 6 distinct items? (i.e., what is P(6,3))
- A120
- B114
- C126
- D132
Show answer
Answer: A
P(n,r) = n!/(n-r)!. Here, P(6,3) = 6!/(6-3)! = 120.
3. How many ways can 4 items be arranged (in order) from a set of 4 distinct items? (i.e., what is P(4,4))
- A24
- B20
- C28
- D32
Show answer
Answer: A
P(n,r) = n!/(n-r)!. Here, P(4,4) = 4!/(4-4)! = 24.
4. How many ways can 2 items be arranged (in order) from a set of 7 distinct items? (i.e., what is P(7,2))
- A42
- B35
- C49
- D56
Show answer
Answer: A
P(n,r) = n!/(n-r)!. Here, P(7,2) = 7!/(7-2)! = 42.
5. How many ways can 3 items be arranged (in order) from a set of 5 distinct items? (i.e., what is P(5,3))
- A60
- B55
- C65
- D70
Show answer
Answer: A
P(n,r) = n!/(n-r)!. Here, P(5,3) = 5!/(5-3)! = 60.
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