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UKMT Intermediate Mathematical Challenge, 2015

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) $110\text{th}$ (B) $112\text{th}$ (C) $114\text{th}$ (D) $116\text{th}$ (E) $118\text{th}$

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