Posted by **kendal** on Saturday, October 18, 2008 at 6:24pm.

find the number of distinguishable permuations in the word mississippi then the word hippopotamus

- math -
**drwls**, Saturday, October 18, 2008 at 6:57pm
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

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