geometry has 8 letters, 2 of which are the same (e)
So, the answer is 8!/2! = 20,160
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There are 8! = 40320 permutations.
There are 6! = 720 permutations.
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UNITED = 6 letters The letters in the word UNITED did not repeat so the number of permutations = 6! = 6x5x4x3x2 =720