In how many different ways can the letters of the word 'POTENCY' be arranged in such a way that the

vowels always come together?

A) 1360

B) 2480

C) 3720

D) 5040

E) 1440

1 Answer

Answer :

Answer: E)

 The word 'POTENCY' has 7 different letters.

 When the vowels EO are always together, they can be supposed to form one letter.

 Then, we have to arrange the letters PTNCY (EO).

 Now, 6 (5 + 1 = 6) letters can be arranged in 6! = 720 ways.

 The vowels (EO) can be arranged among themselves in 2! = 2 ways.

 Required number of ways = (720 x2)

 = 1440.

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