How Many Unique Circular Arrangements for the Word POTATOES?

[pivoxa15]

Homework Statement

In how many ways can the letters of the word POTATOES be arranged in a circle?

Homework Equations

n distinguishable objects can be arranged in a circle in (n-1)! ways.

The Attempt at a Solution

O and T both have two identical copies so it should be 7!/(2!2!)=1260

But the answers suggested 150.

Can't see where I made my mistake.

 

[chaoseverlasting]

Seems right to me...