Find the number of different arrangements of the 9 letters in the word ALLIGATOR in which the two As are together and the two Ls are together.
The 9 letters in the word ALLIGATOR are arranged in a random order.
Find the probability that the two Ls are together and there are exactly 6 letters between the two As.
Find the number of different selections of 5 letters from the 9 letters in the word ALLIGATOR which contain at least one A and at most one L.
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