math
posted by kendal on .
find the number of distinguishable permuations in the word mississippi then the word hippopotamus

Consider the word Mississippi. It has 11 letters. There are 11! = 39,916,800 ways that the 11 letters can be rearranged, but that must be divided by the 4! = 24 indistinguishable arrangements of four s's, 24 indistinguishable arrangement of i's and 2 indistinguishable arrangements of p's.
11!/(4!*4!*2!) = 34,650 
for hippopotamus i got 39,916,800 is that right?