In how many different ways can the letters of the word 'SOFTWARE' be arranged in such a way that the vowels always come together?
Choose the correct choice from the following:
A) 120 B) 360 C) 1440 D) 13440 E) 4320
The word 'SOFTWARE' contains 8 different letters.   when the vowels OAE are always together, they can be supposed to form one letter.   Thus, we have to arrange the letters SFTWR (OAE)   Now, 5 letters can be arranged in 6!=720 ways.   The vowels (OAE) can be arranged among themselves in 3!=6 ways.   Required number of ways =(720*6)= 
<gadget id="calculator">(720*6)</gadget>
<output>4_320</output>
4320.   Answer is 4320
<result>E</result>
In how many different ways can the letters of the word 'SOFTWARE' be arranged in such a way that the vowels always come together?