Find the number of different arrangements of the 10 letters in the word CASABLANCA in which the two Cs are not together.
Find the number of different arrangements of the 10 letters in the word CASABLANCA which have an A at the beginning, an A at the end and exactly 3 letters between the 2 Cs .
Five letters are selected from the 10 letters in the word CASABLANCA.
Find the number of different selections in which the five letters include at least two As and at most one C.
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