Combinatorics Quiz
Practice quiz on Combinatorics (English Comprehension). 10 exam-style questions with explanations.
About This Quiz
Combinatorics Quiz — Questions with Solutions
All 10 questions from this quiz with the correct answer and explanation. Attempt them yourself first, then open each solution to check your reasoning.
Q1.The value of 5! is
- A.24
- B.720
- C.120
- D.60
Show answer
Answer: C. 120
5! = 120.
Q2.The value of 5C2 is
- A.10
- B.15
- C.20
- D.5
Show answer
Answer: A. 10
5!/(2!3!) = 10.
Q3.The value of 4P2 is
- A.6
- B.24
- C.8
- D.12
Show answer
Answer: D. 12
4 x 3 = 12.
Q4.In how many ways can 3 people be arranged in a row?
- A.6
- B.12
- C.9
- D.3
Show answer
Answer: A. 6
3! = 6.
Q5.The number of ways to choose 2 from 6 is
- A.36
- B.15
- C.30
- D.12
Show answer
Answer: B. 15
6C2 = 15.
Q6.The number of permutations of the letters of the word CAT is
- A.3
- B.12
- C.6
- D.9
Show answer
Answer: C. 6
3! = 6.
Q7.The value of 0! is
- A.2
- B.0
- C.Undefined
- D.1
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Answer: D. 1
0! = 1 by definition.
Q8.How many diagonals does a pentagon have?
- A.7
- B.5
- C.10
- D.3
Show answer
Answer: B. 5
n(n-3)/2 = 5.
Q9.The number of ways to select a President and a Secretary from 5 people is
- A.15
- B.25
- C.10
- D.20
Show answer
Answer: D. 20
5P2 = 20.
Q10.Cloze: '(1) ______ changes in science and technology lead to modernisation...'
- A.No
- B.Slow
- C.Ultimate
- D.Rapid
Show answer
Answer: D. Rapid
'Rapid changes' fits — modernisation typically results from rapid technological progress.
Frequently Asked Questions
Is Combinatorics Quiz free to attempt on AajExam?
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How long does it take to complete Combinatorics Quiz?
Combinatorics Quiz runs on a 10-minute timer in real exam-style conditions. The clock starts the moment you click Start, mirroring the time pressure of the actual exam.
Are detailed solutions provided?
Yes. Every question on Combinatorics Quiz ships with a complete step-by-step solution, the underlying concept, and (where applicable) shortcut tricks. You can also discuss any question with the AajExam community.
Can I attempt Combinatorics Quiz multiple times?
Yes. You can attempt this quiz as many times as you like. Each attempt is recorded separately so you can track improvement in score, accuracy and time-management.
Which government exams does this quiz prepare me for?
Combinatorics questions appear regularly in SSC CGL, CHSL, MTS, GD; IBPS PO, Clerk; SBI PO, Clerk; RRB NTPC, Group D; UPSC prelims and most State PSC exams. The specific weightage varies by exam — check the exam pattern on the corresponding AajExam exam page for details.