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?
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==Problem==
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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?
  
 
<math>(A) 12</math>                      <math>(B) 16</math>                          <math>(C) 28</math>                            <math>(D) 32</math>                          (<math>E) 40</math>
 
<math>(A) 12</math>                      <math>(B) 16</math>                          <math>(C) 28</math>                            <math>(D) 32</math>                          (<math>E) 40</math>
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==See Also==
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{{AMC10 box|year=2017|ab=A|num-b=18|num-a=20}}
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{{MAA Notice}}

Revision as of 16:45, 8 February 2017

Problem

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?

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

See Also

2017 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 18
Followed by
Problem 20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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