1. (i) (2 points) How many ways can one arrange the letters of the word DECEMBER? (ii) (3 points) How many of the arrangements in part (i) contain the word EMBER? (iii) (5 points) How many of the arrangements in part (i) have at least four consonants in a row? ( Vowels are A, E, I, O and U. Consonants are letters that are not vowels.)