Class 11 Maths Chapter 7 Permutations and Combinations MCQs

MCQs for Class 11 Maths Chapter 7, Permutations and Combinations, are available online to help students prepare well for exams. These multiple-choice questions are based on the CBSE syllabus (2024-2025) and NCERT guidelines. Each question comes with detailed answers and explanations. Click here to find MCQs for all chapters of Class 11 Maths.

MCQs on Class 11 Maths Chapter 7 – Permutations and Combinations

1. How many ways can 4 objects be arranged in a row?
   a) 24
   b) 12
   c) 16
   d) 32
   Answer: a) 24
2. What is the value of 5! (5 factorial)?
   a) 20
   b) 60
   c) 120
   d) 240
   Answer: c) 120
3. The number of permutations of 4 objects taken 2 at a time is:
   a) 12
   b) 16
   c) 8
   d) 20
   Answer: d) 20
4. How many combinations are there when 5 objects are taken 3 at a time?
   a) 10
   b) 15
   c) 20
   d) 25
   Answer: b) 10
5. If n = 6 and r = 2, the number of permutations (P₆₂) is:
   a) 12
   b) 20
   c) 30
   d) 30
   Answer: c) 30
6. Which of the following is true for combinations?
   a) Order matters
   b) Order doesn’t matter
   c) Both a and b
   d) None of the above
   Answer: b) Order doesn’t matter
7. How many ways can the letters of the word “CAT” be arranged?
   a) 6
   b) 12
   c) 24
   d) 3
   Answer: a) 6
8. How many ways can 10 students sit in a row?
   a) 10
   b) 10!
   c) 20
   d) 100
   Answer: b) 10!
9. In how many ways can a team of 3 people be selected from a group of 6?
   a) 15
   b) 20
   c) 30
   d) 120
   Answer: a) 15
10. What is the value of C₄₂ (combinations of 4 taken 2 at a time)?
    a) 4
    b) 6
    c) 8
    d) 10
    Answer: b) 6
11. If a lock has 3 digits, how many possible arrangements can be made using the digits 1, 2, 3, and 4?
    a) 12
    b) 24
    c) 48
    d) 64
    Answer: b) 24
12. The number of ways to arrange the letters in “LEVEL” is:
    a) 60
    b) 120
    c) 240
    d) 360
    Answer: a) 60
13. How many ways can a group of 5 people sit around a circular table?
    a) 24
    b) 60
    c) 120
    d) 24
    Answer: b) 24
14. What is the number of subsets of a set with 3 elements?
    a) 4
    b) 6
    c) 8
    d) 10
    Answer: c) 8
15. In how many ways can 5 books be arranged on a shelf?
    a) 120
    b) 60
    c) 30
    d) 15
    Answer: a) 120
16. If 5 objects are taken all at a time, how many permutations are possible?
    a) 5
    b) 120
    c) 60
    d) 24
    Answer: b) 120
17. How many diagonals are there in a polygon with 6 sides?
    a) 9
    b) 12
    c) 15
    d) 18
    Answer: c) 15
18. If you have 7 different fruits, how many ways can you choose 3?
    a) 21
    b) 35
    c) 42
    d) 49
    Answer: b) 35
19. The number of permutations of n objects taken r at a time is given by:
    a) n!/(n − r)!
    b) n!/r!(n − r)!
    c) r!/n!
    d) None of the above
    Answer: a) n!/(n − r)!
20. How many ways can 4 people be arranged in 3 chairs?
    a) 12
    b) 20
    c) 24
    d) 30
    Answer: c) 24