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 Letters of the word SERIES are arranged in such a way that all the vowels always come together. What is the total number of ways of making such an arrangement ?

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 Letters of the word SERIES are arranged in such a way that all the vowels always come together. What is the total number of ways of making such an arrangement ?

A). 112

B). 98

C). 72

D). 36


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Answered by on | Votes 1 |

36



Out of the total six letters, three are vowels (E, I, E) and three are consonants (SRS)
Here, E and S come twice If we take all the vowels together the number of letters is 3 + 1 = 4
So, letters can be arranged in 41/21 ways and three vowels can be arranged in 31/21 ways
 ∴ Total number of ways = 41/21 x 31/21= 12 x 3 = 36

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