Permutations and Combinations is one of the chapters in the syllabus of IIT JEE, AIEEE and other engineering examinations which holds a place of importance but is also easy enough to understand. The topic on Permutations and Combinations is also extremely useful as it is a pre-requisite for the chapter on Probability. The concepts of Combinations are also used in Binomial Theorem. This chapter deals with the fundamental concepts of Permutations and Combinations as developed form elementary ideas. It is evident that in forming combinations we are concerned with the number of things each selection contains, whereas in forming permutations, in addition to selection, we also consider the order of the things which make up each arrangement. The chapter begins with the basic principles which talks about Rule of Sum and Rule of Product. The concept of Permutations and Combinations are discussed after the basic principles. The other diversified concepts of restricted selection and arrangement, division and distribution of objects and derangements are also discussed. Some useful tips given towards the end are really fruitful in problem solving.
Topics Covered under Permutations and Combination are:-
Permutations and Combinations are important from IIT JEE perspective as a number Multiple Choice Questions is framed on this section. If we consider the chapter of Permutations and Combinations, Binomial Theorem and Probability together we can say that a good understanding of the concept can help a student to get 10-20 marks varying from one examination to the other. AIEEE and other engineering examinations definitely have 3-5 questions every year directly or indirectly based on these topics. It is very important to master these concepts at early stage as this forms the basis of your preparation for IIT JEE and AIEEE.