In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?	Choose the correct choice from the following answers: A) 90 B) 100 C) 120 D) 130 E) 150
'SCHOOL' contains 6 different letters.   vowels OO are always together   we have to arrange the letters (OO)SCHL   Now 5 letters can be arranged in 5! = 120 ways   The vowels (OO) can be arranged 2! = 2 ways.   = (120 x 2) = 240   again you have to divided 2 common vowels so answer is 120   120)
<result>C</result>
In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?