Below you will find **MCQ Questions of Chapter 7 Permutations and Combinations Class 11 Maths Free PDF Download** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 11 Maths Chapter 7 Permutations and Combinations with answers

1. The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

(a) 410

(b) 260

(c) 96

(d) 356

► (b) 260

2. Numbers greater than 1000 but not greater than 4000 are to be formed with the digits 0, 1, 2, 3, 4, allowing repetitions, the number of possible numbers is

(a) 370

(b) 376

(c) 365

(d) None of these

► (b) 376

3. The number of all numbers that can be formed by using some or all of the digits 1, 3, 5, 7, 9 (without repetitions) is

(a) 325

(b) 120

(c) 32

(d) None of these

► (a) 325

4. A lady wants to select one cotton saree and one polyster saree from a textile shop. If there are 15 cotton and 13 polyster varieties in that shop, in how many ways can she pick up two sarees?

(a) 125

(b) 215

(c) 345

(d) 195

► (d) 195

5. In how many ways can 3 letters be posted in 4 letter boxes?

(a) 27

(b) 41

(c) 64

(d) 31

► (c) 64

6. If ^{n}P_{5} = 60^{n−1}P_{3}, then n is

(a) 10

(b) 6

(c) 12

(d) None of these

► (a) 10

7. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

(a) 24400

(b) 21300

(c) 25200

(d) 210

► (c) 25200

8. The number of ways in which the 6 faces of a cube can be painted with 6 different colours is

(a) 6

(b) 12

(c) 62

(d) None of these

► (d) None of these

9. In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.

(a) 144

(b) 288

(c) 12

(d) 256

► (a) 144

10. How many different words can be formed using the letters of the word BHARAT, which begin with B and end with T?

(a) 36

(b) 16

(c) 24

(d) 12

► (d) 12

11. How many numbers are there between 100 and 1000, in which all the digits are distinct?

(a) 729

(b) 648

(c) 858

(d) 546

► (b) 648

12. In a class 6 students have to be arranged for a photograph. If the prefect and the vice must occupy the positions at either ends, how many ways the students can be arranged?

(a) 58

(b) 48

(c) 64

(d) 32

► (b) 48

13. How many ways can three white and three red balloons be arranged in a row?

(a) 61

(b) 10

(c) 20

(d) 31

► (c) 20

14. A coin is tossed n times, the number of all the possible outcomes is

(a) C(n , 2)

(b) P(n , 2)

(c) 2n

(d) 2^{n}

► (d) 2^{n}

15. Number of ways in which 10 different things can be divided into two groups containing 6 and 4 things respectively is

(a) P(10,2)

(b) P(10,4)

(c) C(10,4)

(d) P(10,6)

► (c) C(10,4)

16. Find the number of words with or without meaning which can be made using all the letters of the word SWEET.

(a) 120

(b) 24

(c) 48

(d) 60

► (d) 60

17. Number of signals that can be made using 2 flags out of given 4 flags.

(a) 3

(b) 6

(c) 12

(d) 4

► (c) 12

18. The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is

(a) 360

(b) 370

(c) 365

(d) None of these

► (c) 365

19. There are 7 chairs in a row. In how many ways can 3 persons occupy any three of them

(a) 240

(b) 210

(c) 260

(d) 120

► (b) 210

20. A class is composed 2 brothers and 6 other boys. In how many ways can all the boys be seated at the round table so that the 2 brothers are not seated besides each other?

(a) 1440

(b) 4320

(c) 3600

(d) 720

► (c) 3600

21. The number of different ways in which a man can invite one or more of his 6 friends to dinner is?

(a) 30

(b) 63

(c) 120

(d) 15

► (b) 63

22. How many three digit odd numbers can be formed by using the digits 1,2,3,4,5,6 if the repetition of digit is not allowed:

(a) 216

(b) 120

(c) 60

(d) None of these

► (c) 60

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Permutations and Combinations MCQ Questions** will help you in practising more and more questions in less time.