SOLUTION: How many different arrangements of the letters of word "Doodle" are possible?

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Question 331634: How many different arrangements of the letters of word "Doodle" are possible?
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
I assume that D and d are the same (ie not distinguishable because of capitalization)
there are 6 letters and these letters can be arranged in 6! different ways
6!=720
but...... there are 2 "d"s and 2 "o"s which are indistinguishable
some of these arrangements will be the same and wil need to be accounted for
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So the answer is 6!/(2!*2!) = 180 different arrangements.