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+2 votes

If the letters of the word $\textbf{COMPUTER}$ 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

+3 votes

Group the vowels together and make it a single packet = $OUE$

Rest of the words are: $CMPTR$

Therefore, total words to be grouped including one packet = $(OUE)CMPTR$ = $6!$

But the packet itself can be arranged in $3!$ ways

Hence, answer = $6!3!$

So, option $C$ is the correct answer.

Rest of the words are: $CMPTR$

Therefore, total words to be grouped including one packet = $(OUE)CMPTR$ = $6!$

But the packet itself can be arranged in $3!$ ways

Hence, answer = $6!3!$

So, option $C$ is the correct answer.

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