There are 2 As, 2 Rs, 2 Ns, 2 Es Therefore, there are 11! 2! ⋅ 2! ⋅ 2! ⋅ 2! = 2494800 ways of arranging it. The word ARRANGEMENT has 11 letters, not all of them distinct. Imagine that they are written on little Scrabble squares. And suppose we have 11 consecutive slots into which to put these squares.
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