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+2 votes

If the letters of the word $\text{COMPUTER}$ be arranged in random order, the number of arrangements in which the three vowels $O, U$ and $E$ occur together is

- $8!$
- $6!$
- $3!6!$
- None of these

+2 votes

__ Answer:__ $\mathbf C$

**Explanation:**

Group the vowels together and make it a single packet $= \mathbf {OUE}$

Rest of the words are: $\mathbf {CMPTR}$

$\therefore$ Total words to be grouped including one packet $ = \mathbf {\underbrace{(OUE)}_\text{=3!}CMPTR} = 6!3!$

$\therefore$ Answer $ = \mathbf {3!6!}$

$\therefore \mathbf C$ is the correct option.

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