Question

The number of ways of permuting the letters of the word "CONTINUE" so that the order of the vowels is not changed is

• A. 820
• B. 840
• C. 860
• D. 880

Answer 1

Answer: (B)

840

Total number of ways of arranging $8$ things in a row is $8!$

However, we have considered here the permutations of the vowels also.

From the $8$ of these alphabets in the given word we have to keep the order of the $4$ vowels fixed.
Also, we have $2$ N's repeated

$\therefore$ The required number of ways is $\frac{8!}{4!\times 2!}=840$

Correct Option is B.