Question 1202902
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"... arrangements of the letters A, B, C, D, E, and F..." means the 6 letters are used once each....<br>
Place the letters in positions using the restrictions first.<br>
E can't be first, so there are 5 choices for the first letter.<br>
E can't be last, so there are 4 choices left for the last letter.<br>
(NOTE: the solution will be the same if you choose the last letter first and then the first letter.)<br>
After choosing the first and last letters, there are no other restrictions on the remaining 4 letters, so they can be arranged in any of 4! = 24 ways.<br>
ANSWER: (5)(4)(24) = 480  option C<br>