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Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

There are 120 different ways of arranging the letters, U, K, M, I and C. All of these arrangements are listed in dictionary order, starting with CIKMU. Which position in the list does UKIMC occupy?

(A) 110th110\text{th} (B) 112th112\text{th} (C) 114th114\text{th} (D) 116th116\text{th} (E) 118th118\text{th}

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