How many words can be made by the letters of the word interfere if two consonants do not come together?
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Problem 21: PermutationFind the number of all possible different words into which the word ‘INTERFERENCE’ can be converted by change of place of the letters, it being given that no two consonants are to be together. AnswerThere is not possible to arrange a word without two consonants are to be together. because there are 12 letters in the word interference of which 5 are vowels (4 e's and 1 i) and 7 consonants (2 n's, 2 r's, and 1 each of t, f & c). There are only 6 consonants that can be placed on the sides of vowels but there are 7 consonants in the given word. So, there should be at least 1 instance where 2 consonants will come together. Latest ArticlesCopyright © 2022 All rights reserved. How many different words can be formed with letters of the word interfere if two consonants are not kept together?It's impossible. Interference has 5 vowels and 7 consonants. Suppose you have 5 apples and 7 oranges. Can you put them in a row that alternates between apples and oranges?
How many words can be formed in the word break when vowels are always together?When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
How many words of 3 consonants and 2 vowels can be formed?Number of groups, each having 3 consonants and 2 vowels = 210. Each group consist of 5 letters.
How many arrangements are possible with the letters of the word profile if no two consonants are to come together?ways = (5040 / 6) ways = 840 ways.
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