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

We have to arrange MOMENT word in different ways,

So,

The number of ways in which n letters can be rearranged (if the letters are different) = n!

Number of ways in which n letters can be rearranged if x letter is repeated twice = n!/(2! × 2! × 2! ....x times) 

The number of ways in which n letters can be rearranged if 1 letter is repeated twice = n!/2!

Calculation:

As M is repeated twice in MOMENT

The number of ways in which MOMENT = 6!/2! = 6 × 5 × 4 × 3 × 2 × 1/(2 × 1) = 360