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SMO 2007 Senior Round 1 Question 16

SMO · SMO 2007 Senior Round 1

Question 16

The letters of the word MATHEMATICS are rearranged in such a way that the first four letters of the arrangement are all vowels. Find the total number of distinct arrangements that can be formed in this way.

(Note: The vowels of English language are A, E, I, O, U.)