Books by Ramesh Chandra (Author of Permutation and Combinations)Multiplication Rule If one event can occur in m ways, a second event in n ways and a third event in r, then the three events can occur in m n r ways. Example Erin has 5 tops, 6 skirts and 4 caps from which to choose an outfit. In how many ways can she select one top, one skirt and one cap? Repetition of an Event If one event with n outcomes occurs r times with repetition allowed, then the number of ordered arrangements is nr Example 1 What is the number of arrangements if a die is rolled a 2 times? Repetition of an Event Example 2 a How many different car number plates are possible with 3 letters followed by 3 digits? Example a In how many ways can 6 people be arranged in a row? Solution : 6.
Permutation and Combination Notes for IIT JEE, Download PDF!
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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 :. In order to find the number of permutations that can be formed where the two vowels U and E come together. In these cases, we group the letters that should come together and consider that group as one letter.
The study of permutations and combinations is concerned with . Example 6 In how many ways 3 mathematics books, 4 history books.
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