JEE Mathematics Permutation and Combination MCQs Set A with Answers

Practice JEE Mathematics Permutation and Combination MCQs Set A provided below. The MCQ Questions for Full Syllabus Permutation and Combination Mathematics with answers and follow the latest JEE (Main)/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for JEE (Main) Full Syllabus Mathematics and also download more latest study material for all subjects

MCQ for Full Syllabus Mathematics Permutation and Combination

Full Syllabus Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Permutation and Combination

Permutation and Combination MCQ Questions Full Syllabus Mathematics with Answers

(A) ab, b, ac are in A.P. (B) ab, b, ac are in G.P.

Ans = C

14. In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers is

(A) at least 30 (B) at least 20

Ans = C

15. The number of arrangements of the letters of the word BANANA in which two N’s do not appear adjacently.

(A) 40 (B) 60

Ans = A

16. The number of triangles which can be formed from 12 points out of which 7 are collinear is

(A) 105 (B) 210

Ans = B

17. The number of ways in which 5 male and 2 female members of a committee can be seated around a round table so that the two females are not seated together is

(A) 480 (B) 600

Ans = B

18. A set contains (2n + 1) elements. The member of subsets of the set which contain at most n elements is

(A) 2ⁿ (B) 2^{n + 1}

Ans = D

19. A polygon has 44 diagonals. The number of its sides is

(A) 9 (B) 10

Ans = C

20. Everybody in a room shakes hand with everybody else. The total number of hand shakes is 153. The total number of persons in the room is

(A) 16 (B) 17

Ans = C

JEE Mathematics Permutation and Combination MCQs Set A-2

26. In a 12 storey building 3 persons enter a lift cabin, It is known that they will leave the lift at different storeys. In how many ways can do so if the lift does not stop at the second storey.

(A) 720 (B) 240

27. The number of five digits telephone numbers having atleast one of their digits repeated is

(A) 90000 (B) 100000

28. The number of arrangement of the letters of the word ‘BANANA’ in which two N’s donot appear adjacent is

(A) 40 (B) 60

(D) 80 (D) 100

29. The number of straight lines that can be formed by joining 20 points of which 4 points are collinear is

(A) 183 (B) 186

30. Number of numbers greater than 1000 but less than 4000 that can be formed by using the digit 0, 1, 2, 3, 4 when repetition is allowed is

(A) 125 (B) 105

31. There are ‘n’ seats round a table marked 1, 2, 3, ……, n. The number of ways in which m (≤n) persons can take seats is;

32. Number of divisors of the form 4n + 2, n ≥ 0 of the integer 240 is;

(A) 4 (B) 8

33. Six identical coins are arranged in a row. The total number of ways in which the number of heads is equal to the number of tails is;

(A) 40 (B) 20

34. How many different nine digit numbers can be formed from the number 227788558 by rearranging it’s digits so that odd digits occupy the even positions?

(A) 16 (B) 36

35. The number of proper divisors of 1800 which are also divisible by 10 is;

(A) 16 (B) 18

36. Let A = {x : x is a prime and x ≤31}. The number of different rational numbers whose numerator and denomirator belong to A is;

(A) 110 (B) 109

37. Let n₁ and n₂ be two, four digit numbers. How many such pairs can be there so that n₂ can be substracted from n₁ without borrowing?

(A) 45³ . 36 (B) 45⁴

38. Consider a rectangle ABCD. Three, four, five and six points are marked respectively on the sides AB, BC, CD and DA (none of them being the vertex of the rectangle). Number of triangles that can be formed with these points as vertices, so that there is atmost one angular point of the triangle on any side of rectangle ABCD is;

(A) 232 (B) 342

JEE Mathematics Permutation and Combination MCQs Set A-4

JEE Mathematics Permutation and Combination MCQs Set A-5

JEE Mathematics Permutation and Combination MCQs Set A-6

JEE Mathematics Permutation and Combination MCQs Set A-7

JEE Mathematics Permutation and Combination MCQs Set A-18

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MCQ Questions for JEE Mathematics with Answers

MCQs for Permutation and Combination Mathematics Full Syllabus

Students can use these MCQs for Permutation and Combination to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for Full Syllabus Mathematics released by JEE (Main). Our expert teachers suggest that you should practice daily and solving these objective questions of Permutation and Combination to understand the important concepts and better marks in your school tests.

Permutation and Combination NCERT Based Objective Questions

Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for Full Syllabus. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Permutation and Combination, you should also refer to our NCERT solutions for Full Syllabus Mathematics created by our team.

Online Practice and Revision for Permutation and Combination Mathematics

To prepare for your exams you should also take the Full Syllabus Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.

Where can I access latest JEE Mathematics Permutation and Combination MCQs Set A?

You can get most exhaustive JEE Mathematics Permutation and Combination MCQs Set A for free on StudiesToday.com. These MCQs for Full Syllabus Mathematics are updated for the 2025-26 academic session as per JEE (Main) examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Full Syllabus material?

Yes, our JEE Mathematics Permutation and Combination MCQs Set A include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the JEE (Main) paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Full Syllabus exams?

By solving our JEE Mathematics Permutation and Combination MCQs Set A, Full Syllabus students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for JEE Mathematics Permutation and Combination MCQs Set A?

Yes, Mathematics MCQs for Full Syllabus have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused JEE (Main) exams.

Can I practice these Mathematics Full Syllabus MCQs online?

Yes, you can also access online interactive tests for JEE Mathematics Permutation and Combination MCQs Set A on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.