Basic Computer Knowledge Test Questions and Answers

Permutations Combinations


In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?

   A.) 260
   B.) 240
   C.) 120
   D.) None of these

Answer: Option 'C'

'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.

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