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2017 AMC 10A Question 19

AMC10 · 2017 AMC 10A

Question 19

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. $40$