Question

In how many ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?

• A. 736
• B. 768
• C. 792
• D. 840

Answer 1

The correct option is D 840

Since the order of vowels will always remain the same despite these occupying different positions $\to$ if we assume each vowel as X then our question is same as asking "arrange JPTRXXX"
$\Rightarrow$ in all $\frac{7!}{3!}$ ways.
$\Rightarrow$ Choice (d) is the right answer