Find the number of different arrangements of the 9 letters in the word ANDROMEDA in which no consonant is next to another consonant. (The letters D, M, N and R are consonants and the letters A, E and O are not consonants.)
Find the number of different arrangements of the 9 letters in the word ANDROMEDA in which there is an A at each end and the Ds are not together.
Four letters are selected at random from the 9 letters in the word ANDROMEDA.
Find the probability that this selection contains at least one D and exactly one A .
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