Difference between revisions of "2017 AMC 10A Problems/Problem 19"

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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?
 
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?
  
(A) 12                      (B) 16                          (C) 28                            (D) 32                          (E) 40
+
<math>(A) 12</math>                     <math>(B) 16</math>                           <math>(C) 28</math>                             <math>(D) 32</math>                           (<math>E) 40</math>

Revision as of 15:22, 8 February 2017

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?

$(A) 12$ $(B) 16$ $(C) 28$ $(D) 32$ ($E) 40$