6 The 11 letters of the word REMEMBRANCE are arranged in a line.
- Find the number of different arrangements if there are no restrictions.
- Find the number of different arrangements which start and finish with the letter M .
- Find the number of different arrangements which do not have all 4 vowels ( \(\mathrm { E } , \mathrm { E } , \mathrm { A } , \mathrm { E }\) ) next to each other.
4 letters from the letters of the word REMEMBRANCE are chosen.
- Find the number of different selections which contain no Ms and no Rs and at least 2 Es.