JEE Advanced Permutations and Combinations Important Questions

The basic difference between Permutation and Combination is following a particular order. While making a selection, if the ‘order of selection’ has no preference, then the formula of ‘Combination’ has to be used. In case, the order of selection has a preference, then the formula of Permutation has to be used. Therefore, Permutation deals with the concept of arrangement, and Combination deals with the concept of selection. Once students are able to distinguish between the concepts of selection and arrangement, solving these sums takes very little time. Download the below PDF and refer to the important questions on Permutation and Combinations for JEE Advanced 2025.

Students are required to know the concept of ‘factorial’ in order to excel in Permutation and Combinations.

• If there are a total of ‘n’ number of options and only ‘r’ number of options are to be chosen, in a particular order without any repetitions, then the following formula of Permutation has to be used.

\[\frac{n!}{(n-r)!}\]

• If there are a total of ‘n’ number of options available and only ‘r’ number of options are to be chosen, without any repetition, and the order of the arrangement is not to be counted, then the following formula of Combination has to be used.

\[\frac{n!}{r!(n-r)!}\]

Among the most important topics in Math for JEE Advanced are Permutation and Combinations. This chapter deals with the concepts of selection and arrangement. There are sums in this chapter that help students distinguish between the concepts of arrangements and selections. Also, some sums involve selection and arrangement i) with repetitions and ii) with no repetitions. The below PDF consists of JEE Advanced Permutations and Combinations Important Questions along with their solutions.

Permutation and Combination play a very important role in both phases of the Joint Entrance Examination (JEE) i.e. JEE Main and JEE Advanced. About 2-3 questions are always being asked from this chapter in the exam. Engineering candidates can solve any question if they have a basic understanding of the concepts. Here, Vedantu provides candidates with JEE Advanced Permutations and Combinations Important Questions. Some JEE level questions are also given in these notes so that students can get an idea of the difficulty level of the paper.

The success mantra of getting through the JEE Advanced Permutations and Combinations is to practice questions that are liked to be asked in the examinations. Days are gone when students were spending most of the time preparing for the examinations now they refer to Vedantu JEE Advanced Important Questions of Permutations and Combinations which will help them to develop their aptitude.

The JEE Advanced Important Questions of Permutations and Combinations are prepared by excellent professors who have good knowledge about the subject. While preparing the questions they have given more weightage to problem-solving skills and how to solve that problem faster and easier. They also make sure that the students should understand the concept clearly and that is the reason the questions are designed in the most simple language.

Importance of Permutations and Combinations in JEE Advanced

Permutations and Combinations is the vital section in JEE Advanced. Many questions have been fetched from this section to be asked in the JEE Advanced Examination. This section decides the best ranking for students who want to score top in the JEE Advanced Examination.

This is the toughest section of JEE Advanced so students should keep in mind that they should practice JEE Advanced Permutations and Combinations Important Questions for cracking the JEE Advanced Exam. Practice Important Questions on every theorem till you get comfortable as this section needs a lot of practice to be confident while giving JEE  Advanced papers.