GCEFurther MathematicsPermutations and Combinations2020

In how many ways can the letters of the word COMMITTEE be arranged?

A45360CORRECT
B90720
C181440
D362880
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
COMMITTEE has 9 letters with repetitions: M appears 2 times, T appears 2 times, E appears 2 times. Number of arrangements = 9!/(2! × 2! × 2!) = 362880/8 = 45360. Forgetting to divide by the repeated letters is a common error leading to option D.
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