thermometer

In alphabetical order, the letters are

eeehmmorrtt

If you could tell the like letters apart, the answer would be 11!.
But there are 3 indistinguishable e's, 2 indistinguishable m's,
2 indistinguishable r's and 2 indistinguishable t's. So we must
divide that number, 11!, by the product of thr factorials of all 
of those.


Answer:   = 1663200 

Edwin