Permutation and Combination MCQs with Answers for CBSE JEE Mathematics

Practice MCQs for JEE Mathematics Permutation and Combination

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Access the complete set of multiple-choice questions for Permutation and Combination below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official JEE textbooks.

(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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FAQs

Where can I access latest JEE Mathematics Permutation and Combination MCQs Set 01?

You can get most exhaustive JEE Mathematics Permutation and Combination MCQs Set 01 for free on StudiesToday.com. These MCQs for JEE Mathematics are updated for the 2026-27 academic session as per JEE examination standards.

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

Yes, our JEE Mathematics Permutation and Combination MCQs Set 01 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the JEE paper is now competency-based.

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

By solving our JEE Mathematics Permutation and Combination MCQs Set 01, JEE 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 01?

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

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Yes, you can also access online interactive tests for JEE Mathematics Permutation and Combination MCQs Set 01 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.