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Mathematics - Permutation Combination

Practise 98 NTA Abhyas (JEE Main) questions on Permutation Combination. Each question shows a quick preview so you can jump straight to the topic you want to revise.

Permutation Combination has been asked in 0 of the 24 years of NTA Abhyas (JEE Main) papers analysed (2002–2025), with 98 questions in all. 100% of them were easy, 0% moderate and 0% tough. Most of its questions came from 2025, with 0 questions that year. In the last three years (2023–2025) it had 0 questions across 63 papers, about 0 per paper.

All of the chapter's questions come from a single topic, Uncategorized.

  1. 1If n objects are arranged in a row, then the number of ways of selecting three objects such that no two of them are next to each other is
  2. 2If there are nine straight lines of which five are concurrent at a point and the other four are concurrent at another point and no two of th
  3. 3There are eight rooms on the first floor of a hotel, with four rooms on each side of the corridor, symmetrically situated (that is each room
  4. 4The number of ways in which 2 n distinct letters (addressed) can be distributed in N distinct mail boxes such that there are exactly K lette
  5. 5The number of words of 4 letters which can be formed with the letters of the word M A T H E M A T I C S is α , then α 300 is
  6. 6A shopkeeper has 10 copies each of nine different books, then the number of ways in which atleast one book can be selected is
  7. 7At an election, a voter may vote for any number of candidates not greater than the number to be elected. There are 10 candidates and 4 are t
  8. 8If the number of integral solutions x , y , z of the equation x y z = 18 is t , then the value of t 8 is
  9. 9A word has 4 identical letters and rest all are distinct letters. If the total number of words that can be made with the letters of the word
  10. 10The number of ways in which 10 boys can be divided into 2 groups of 5 , such that two tallest boys are in two different groups, is equal to
  11. 11Number of words that can be formed with the letters of the word A L G E B R A so that all the vowels are separated (or no two vowels come to
  12. 12The number of numbers, lying between 99 and 1000 that can be made from the digits 2 , 3 , 7 , 0 , 8 and 6 when the digits occur only once in
  13. 13The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together, is
  14. 14The number of even numbers of four digits that can be formed using the digits 0 , 1 , 2 , 3 , 4 and 5 is
  15. 15A committee of 12 members is to be formed from 9 women and 8 men. The number of ways of forming the committee with women in majority is
  16. 16The number of ways of arranging 18 boys such that 3 particular boys are always separate is equal to
  17. 17The number of permutations of alphabets of the word “ENSHRINE” in which no two alike alphabets are together is equal to
  18. 18If n + 2 C 8 : n - 2 P 4 = 57 : 16 , then the value of n 2 is
  19. 19The number of ordered pairs of positive integers a , b , such that their Least Common Multiple is the given positive integer 7 2 × 1 1 3 × 1
  20. 20The sum of the divisors of 9600 is
  21. 21The number of solution to the equation 2 a + 3 b + 6 c = 60 , where a , b , c ∈ N , is equal to
  22. 22The number of 7 digit integers a b c d e f g , where a b c d e f g such that a , b , c , d , e , f , g ∈ 1,2 , 3 , . . . . , 9 , are
  23. 23The number of ways in which four different toys and five indistinguishable marbles can be distributed between 3 boys, if each boy receives a
  24. 24The number of ways in which 5 boys and 4 girls can be arranged on a circular table such that no two girls sit together and two particular bo
  25. 25If the number of ways of selecting 3 numbers out of 1, 2 , 3 , . . . . , 2 n + 1 such that they are in arithmetic progression is 441 , then
  26. 26If the number of ways in which four distinct balls can be put into two identical boxes such that no box remains empty is equal to k , then k
  27. 27A rectangle with sides 2 m - 1 and 2 n - 1 is divided into squares of unit length. The number of rectangles that can be formed with both the
  28. 28A committee consisting of atleast three members is to be formed from a group of 6 boys and 6 girls such that it always has a boy and a girl.
  29. 29If the total number of positive integral solutions of 15 x 1 + x 2 + x 3 ≤ 20 is k , then the value of k 100 is equal to
  30. 30If there are n number of seats and m number of people have to be seated, then the number of possible ways to do this is (here, m n )
  31. 31The number of ways in which 10 balls can be selected from 10 identical green balls, 10 identical blue balls and 9 identical red balls are
  32. 32The number of ways in which we can put 5 different balls in 5 different boxes such that atmost three boxes are empty, is equal to
  33. 33The number of different ways in which the first twelve natural numbers can be divided into three groups, each having four elements, such tha
  34. 34If 4 dice are rolled once, the number of ways of getting the sum as 10 is K , then the value of K 10 is equal to
  35. 35There are ten seats out of which four are to be occupied. The number of ways of arranging four persons on these four seats such that each pe
  36. 36The number of times the digit 0 is used in writing the numbers from 1 to 1000 is equal to
  37. 37If N is the number of positive integral solutions of the equation x 1 x 2 x 3 x 4 = 770 , then the value of N is
  38. 38A student has to answer 10 out of 13 questions in an examination. The number of ways in which he can answer, if he must answer atleast three
  39. 39In a shooting competition a man can score 5 , 4 , 3 , 2 , 1 or 0 points for each shot. Then the number of different ways in which he can sco
  40. 40If the total number of ways of selecting two numbers from the set 1 , 2 , 3 , … … … . . , 89 , 90 such that their sum is divisible by 3 is k
  41. 41If the number of 7 digit numbers whose sum of the digits is equal to 10 and which is formed by using the digits 1 , 2 and 3 only is K , then
  42. 42The number of solutions to x + y + z = 10 , where 1 ≤ x , y , z ≤ 6 and x , y , z ∈ N , is equal to
  43. 43Five boys and four girls sit in a straight line. The number of ways in which they can be seated if two girls are together and the other two
  44. 44The position vector of the point P is π → = x i ^ + y j ^ + z k ^ , where x , y , z ∈ N. If a → = i ^ + j ^ + k ^ and π → . a → = 10 , then
  45. 45The number of eight-digit integers, with the sum of digits equal to 12 and formed by using the digits 1 , 2 and 3 only are
  46. 46There are six periods in each working day of a school. The number of ways in which 5 subjects can be arranged such that each subject is allo
  47. 47The number of ways of selecting two distinct numbers from the first 15 natural numbers such that their sum is a multiple of 5, is equal to
  48. 48There are 7 distinguishable rings. The number of possible five-rings arrangements on the four fingers (except the thumb) of one hand (the or
  49. 49All possible numbers are formed using the digits 1 , 1 , 2 , 2 , 2 , 2 , 3 , 4 , 4 taken all at a time. The number of such numbers in which
  50. 50The total number of divisors of the number N = 2 5 3 4 5 10 7 6 that are of the form 4 K + 2 , K N is equal to

Frequently Asked Questions

1.How many questions are available for Permutation Combination?

This chapter includes 98 NTA Abhyas (JEE Main) questions.

2.Are these questions only from NTA Abhyas (JEE Main), or from other exams too?

These are NTA Abhyas (JEE Main) questions specifically for the Permutation Combination chapter. Questions from other exams like JEE Main or JEE Advanced are organised separately under their respective exam sections.

3.What is the difficulty level of Permutation Combination questions in NTA Abhyas (JEE Main)?

Of the 98 questions analysed for this chapter, 100% are easy, 0% moderate and 0% tough. 2025 had the most, with 0 questions.

4.Which topics in Permutation Combination should I focus on?

All of this chapter's questions come from a single topic: Uncategorized.