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25. Six friends (Amy, Beth, Caryn, Darla, Elena, and Francesca) go to see a movie together. They sit in one row, starting at an aisle

25. Six friends (Amy, Beth, Caryn, Darla, Elena, and Francesca) go to see a movie together. They sit in one row, starting at an aisle seat. Caryn absolutely insists on sitting in the aisle seat, and she will only sit next to one of her two best friends, Darla or Francesca. None of the rest of the girls has a seating preference, except for Amy, who refuses to sit in the last seat. How many possible seating arrangements are there?

27. Six men and four women are being seated in a row of ten chairs on a stage which are numbered from left to right. How many seating arrangements are there if: A. There are no restrictions as to how they are seated?

B. The men sit in the last six seats?

C. A woman is seated on each end?

D. A man is seated in each of the second, third, and fifth seats, and a woman is seated in the eighth seat?

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