# Best book for permutation and combination

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## Approaching Permutation and Combination for JEE Advanced

Permutations and combinations , the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory. The concepts of and differences between permutations and combinations can be illustrated by examination of all the different ways in which a pair of objects can be selected from five distinguishable objects—such as the letters A, B, C, D, and E. If both the letters selected and the order of selection are considered, then the following 20 outcomes are possible:. Each of these 20 different possible selections is called a permutation.## Permutation and Combinations

Unlike most of the other topics that you might have studied until now, PnC tests your ability to observe pattern, your mathematical reasoning and creativity. Here are some tips on how to approach this topic, particularly if you are preparing for JEE, Read on! So to start with refrain the usage of these two formulae and try to solve the problems without using them. So to solve these type of problems it is wise that you first consider some value of N say 3 then solve the problem. This at first may seem time-consuming but once you have done enough practise it wont take much time to arrive at the solution. Then go through the book R.

## Permutations: The hairy details

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The same rule applies while solving any problem in Permutations. Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! The different ways in which the 3 letters, taken 2 at a time, can be arranged is 3! When a letter occurs more than once in a word, we divide the factorial of the number of all letters in the word by the number of occurrences of each letter. Solution :.

Permutation and Combinations has always been a dreaded chapter in every student s life and they usually have confusion as to which book to follow. There is a large gap between the student s understanding and the presentation of the numerous books available in the market today. The book is compiled by the author to cover up the difficulties faced by the students. This is a must-have for students aspiring to make it to the IIT s. This book is sold subject to condition that it shall not by way of trade or otherwise, be lent, resold or hired out, circulated and no reproduction in any form, in whole or in part except for brief quotations in critical articles or reviews may be made without written permission of the publishers. This book has been published in good faith that the work of the author is original.

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