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. 72
• C. 98
• D. 36

Answer: (D)

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 = 4So, 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