In how many ways can the letters of the word 'MOMENT' be arranged?

The correct answer is Option (2) → 360

MOMENT has 6 letters, with M appearing twice and the other letters once. Swapping the two M’s gives the same word, so each word is counted twice among the arrangements of 6 letters, and the total is divided by 2!.

• Arrangements of 6 letters treated as different: \(6!=720\)

• Different words: \(\displaystyle\frac{6!}{2!}=\frac{720}{2}=360\)