The 11 letters of the word REMEMBRANCE are arranged in a line. i. Find the number of

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The 11 letters of the word REMEMBRANCE are arranged in a line.

i. Find the number of different arrangements if there are no restrictions.

ii. Find the number of different arrangements which start and finish with the letter M.

iii. Find the number of different arrangements which do not have all 4 vowels (E, E, A, E) next to each other.

4 letters from the letters of the word REMEMBRANCE are chosen.

iv. Find the number of different selections which contain no Ms and no Rs and at least 2 Es.

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