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
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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