Find the number of different possible arrangements of the 9 letters in the word CELESTIAL.
Find the number of different arrangements of the 9 letters in the word CELESTIAL in which the first letter is C, the fifth letter is T and the last letter is E.
Find the probability that a randomly chosen arrangement of the 9 letters in the word CELESTIAL does not have the two Es together.
5 letters are selected at random from the 9 letters in the word CELESTIAL.
Find the number of different selections if the 5 letters include at least one E and at most one L .
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