(a) Find the number of different arrangements of the 8 letters in the word COCOONED.

(b) Find the number of different arrangements of the 8 letters in the word COCOONED in which the first letter is O and the last letter is N.

(c) Find the probability that a randomly chosen arrangement of the 8 letters in the word COCOONED has all three Os together given that the two Cs are next to each other.