In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?  Options.
A) 120  B) 140  C) 145  D) 150  E) 160
'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>A</result>
In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?