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2009 AMC 12B Question 21

AMC12 · 2009 AMC 12B

Question 21

Ten women sit in $10$ seats in a line. All of the $10$ get up and then reseat themselves using all $10$ seats, each sitting in the seat she was in before or a seat next to the one she occupied before. In how many ways can the women be reseated?
  1. $89$
  2. $90$
  3. $120$
  4. $210$
  5. $2^{38}$