(a(i))[1]
Determine how many different arrangements are possible when there are no restrictions.
(a(ii))[2]
Find the number of different arrangements that begin and end with the letter M.
(a(iii))[3]
Find the number of different arrangements that do not place all $4$ vowels $(E, E, A, E)$ beside one another.
(a(iv))[3]
$4$ letters from the letters of the word REMEMBRANCE are chosen. Find the number of different selections that contain no Ms and no Rs and at least $2$ Es.