Permutations and Combinations MCQ for Class 11 Maths Chapter 7 Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 7 Permutations and Combinations with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Permutations and Combinations. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. Six boys and six girls sit along a line alternately in x ways and along a circle (again alternatively in y ways), then

(i) x = y
(ii) y = 12x
(iii) x = 10y
(iv) x = 12y

(iv) x = 12y

Q2. If repetition of the digits is allowed, then the number of even natural numbers having three digits is

(i) 250
(ii) 350
(iii) 450
(iv) 550

(iii) 450

Q3. How many words beginning with T and ending with E can be made (with no letter repeated) out of the letters of the word ‘TRIANGLE’ ?

(i) 1440
(ii) 8P6
(iii) 720
(iv) 722

(iii) 720

Q4. If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi?

(i) 4
(ii) 8
(iii) 12
(iv) 16

(iv) 16

Q5. How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed

(i) 720
(ii) 420
(iii) none of these
(iv) 5040

(i) 720

Q6. The value of P(n, n – 1) is

(i) n
(ii) 2n
(iii) n!
(iv) 2n!

(iii) n!

Q7. There are 10 true-false questions in a examination. Then these questions can be answered in:

(i) 100 ways
(ii) 20 ways
(iii) 512 ways
(iv) 1024 ways

(iv) 1024 ways

Q8. Find the number of 5 letter words which can be formed from word PULSE if repetition is allowed.

(i) 25
(ii) 120
(iii) 125
(iv) 3125

(iv) 3125

Q9. A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of at least 3 girls

(i) 588
(ii) 885
(iii) 858
(iv) None of these

(i) 588

Q10. The number of ways of painting the faces of a cube with six different colors is

(i) 1
(ii) 6
(iii) 6!
(iv) None of these

(i) 1

Q11. The number of numbers consisting of four different digits that can be formed with the digits 0, 1, 2, 3 is :

(i) 18
(ii) 24
(iii) 30
(iv) 72

(i) 18

Q12. How many 5-digit numbers are possible without repetition of digits?

(i) 27216
(ii) 50400
(iii) 100000
(iv) 90000

(i) 27216

Q13. In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?

(i) none of these
(ii) 12!/(4!)³
(iii) Insufficient data
(iv) 12!/{3! × (4!)³}

(iv) 12!/{3! × (4!)³}

Q14. Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are to be distributed among 2 persons. Then the total number of ways of distribution is

(i) 1800
(ii) 1080
(iii) 1008
(iv) 8001

(iii) 1008

Q15. How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together :

(i) 4140
(ii) 4320
(iii) 432
(iv) 43

(ii) 4320

Q16. How many 4 digits even numbers are possible from digits 1 to 9 if repetition is not allowed?

(i) 6561
(ii) 2016
(iii) 1344
(iv) 2916

(iii) 1344

Q17. In how many ways in which 8 students can be sated in a circle is

(i) 40302
(ii) 40320
(iii) 5040
(iv) 50040

(iii) 5040

Q18. The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is

(i) 152100
(ii) 1512
(iii) 15120
(iv) 151200

(iv) 151200

Q19. How many numbers of 6 digits can be formed from the digits of the number 112233?

(i) 30
(ii) 60
(iii) 90
(iv) 120

(iii) 90

Q20. The total number of 9 digit numbers of different digits is

(i) 99!
(ii) 9!
(iii) 8 × 9!
(iv) 9 × 9!

(iv) 9 × 9!

Q21. How many ways are here to arrange the letters in the word GARDEN with the vowels in alphabetical order?

(i) 120
(ii) 240
(iii) 360
(iv) 480

(iii) 360

Q22. In a test there were n questions. In the test 2n – i students gave worng answers to i questtions i = 1, 2, 3, ……..n. If the total number of wrong anwers given is 2047 then n is

(i) 12
(ii) 11
(iii) 10
(iv) None of these

(iii) 10

Q23. 6 men and 4 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is

(i) 604800
(ii) 17280
(iii) 120960
(iv) 518400

(i) 604800

Q24. Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

(i) 1296
(ii) 671
(iii) 625
(iv) 585

(ii) 671

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

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. Six boys and six girls sit along a line alternately in x ways and along a circle (again alternatively in y ways), then

Q2. If repetition of the digits is allowed, then the number of even natural numbers having three digits is

Q3. How many words beginning with T and ending with E can be made (with no letter repeated) out of the letters of the word ‘TRIANGLE’ ?

Q4. If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi?

Q5. How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed

Q6. The value of P(n, n – 1) is

Q7. There are 10 true-false questions in a examination. Then these questions can be answered in:

Q8. Find the number of 5 letter words which can be formed from word PULSE if repetition is allowed.

Q9. A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of at least 3 girls

Q10. The number of ways of painting the faces of a cube with six different colors is

Q11. The number of numbers consisting of four different digits that can be formed with the digits 0, 1, 2, 3 is :

Q12. How many 5-digit numbers are possible without repetition of digits?

Q13. In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?

Q14. Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are to be distributed among 2 persons. Then the total number of ways of distribution is

Q15. How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together :

Q16. How many 4 digits even numbers are possible from digits 1 to 9 if repetition is not allowed?

Q17. In how many ways in which 8 students can be sated in a circle is

Q18. The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is

Q19. How many numbers of 6 digits can be formed from the digits of the number 112233?

Q20. The total number of 9 digit numbers of different digits is

Q21. How many ways are here to arrange the letters in the word GARDEN with the vowels in alphabetical order?

Q22. In a test there were n questions. In the test 2n – i students gave worng answers to i questtions i = 1, 2, 3, ……..n. If the total number of wrong anwers given is 2047 then n is

Q23. 6 men and 4 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is

Q24. Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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