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2017 AMC 12A Question 14

AMC12 · 2017 AMC 12A

Question 14

Alice refuses to sit next to either Bob or Carla. Derek refuses to sit next to Eric. How many ways are there for the five of them to sit in a row of $5$ chairs under these conditions?
  1. $12$
  2. $16$
  3. $28$
  4. $32$
  5. $40$