NTA will shortly release the JEE Main Syllabus 2025 at jeemain.nta.ac.in. Last Year, the complete syllabus of JEE Main underwent some major changes. According to the latest syllabus guidelines, the weightage of Maths has dropped to 22.5%. Due to these changes in the syllabus, certain shifts in chapter-wise weightage have been observed. Permutation and Combination are among such topics. It’s among the least weightage topics in JEE Main Maths Syllabus 2025. This chapter holds 1.39% weightage in the whole syllabus.

  • Permutation and Combination is a part of the General Maths section, and every year around 2-3 questions are asked from this chapter. Due to the drop in weightage, you can expect 1-2 questions in JEE Main 2025.
  • Permutation and Combination in JEE Mains Maths Syllabus 2025 covers all the basic concepts on units and measurements, fundamentals of units, dimensions etc.

Aspirants consider Permutation and Combination as one of the Easiest Chapters in Maths for JEE Main 2025. Even though this chapter has the least weightage in the syllabus, to develop a strong foundation in physics, this particular chapter plays a pivotal role. Hence the candidates need to develop a clear understanding of this chapter. The list of most asked questions from this chapter will help the students with their preparation.

Must Check News on JEE Main Maths:

Here are some important topics in permutations and combinations for JEE Main:

  • Fundamentals of counting
  • Factorial notation
  • Permutations
  • Combinations
  • Binomial theorem and applications
  • Arrangements and selections
  • Multinomial theorem
  • Pigeonhole principle
  • Distribution of identical objects
  • Circular permutations

The main difference between permutations and combinations is the order of selection. If the order of selection is not important, then the combination formula is used. If the order of selection is important, then the permutation formula is used.

Permutations and combinations questions are usually conceptual and can be tricky. The weightage of permutations and combinations in JEE Main is around 1-2% and usually 1-2 questions are asked from this chapter.

Permutation and Combination JEE Mains Questions -

List Of Most Asked Questions With Solutions

In the (JEE) Main, the topic of Physics and Measurement often features questions that have appeared multiple times in previous years. Many questions in this section are either repeated or follow similar patterns, with only minor changes, such as different numerical values or slight modifications in wording.Certain questions have been repeated as many as five times.

Here are some of the most frequently asked and repeated questions:

Question: How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition?

Solution: Correct answer: 60. Explanation: 5P3 = 5!/(5-3)! = 5! / 2! = 60.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: In how many ways can 5 people be seated in a row?

Solution: Correct answer: 120. Explanation: 5! = 5 × 4 × 3 × 2 × 1 = 120.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: In how many ways can the letters of the word 'PROBLEM' be arranged?

Solution: Correct answer: 7!. Explanation: Since all letters are distinct, the total number of arrangements is 7!.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: From a group of 10 men and 8 women, a committee of 6 is to be formed. In how many ways can this be done if the committee must include at least 2 women?

Solution: Correct answer: 8440. Explanation: Total ways = (sum of combinations of men and women).

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: How many ways can the letters of the word 'BANANA' be arranged?

Solution: Correct answer: 60. Explanation: The word contains 6 letters, with 3 N's, so the formula for arrangements is 6! / (3! × 2!) = 60.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: In how many ways can 4 boys and 4 girls sit in a row such that no two girls sit together?

Solution: Correct answer: 1440. Explanation: Total ways = 4! × 5P4 = 1440.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: In how many ways can a committee of 4 people be formed from 6 men and 4 women?

Solution: Correct answer: 210. Explanation: Use combinations: 10C4 = 210.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: How many ways can 3 balls be placed in 5 boxes if no box is empty?

Solution: Correct answer: 60. Explanation: Use Stirling's number of the second kind.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: In how many ways can 8 people be seated at a round table?

Solution: Correct answer: 5040. Explanation: For circular arrangements, use (n-1)! = 7! = 5040.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Question: How many ways can 3 men and 3 women be seated in a row such that no two men sit together?

Solution: Correct answer: 72. Explanation: Total ways = (arrangements of women) × (ways to place men) = 72.

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)