SOLUTION: At the theatre there are six seats in a row. Eliot and Doug have three people between them. Chuck sits next to Eliot, but not next to Bob. Andy is on the end, but Eliot isn't. Fra

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: At the theatre there are six seats in a row. Eliot and Doug have three people between them. Chuck sits next to Eliot, but not next to Bob. Andy is on the end, but Eliot isn't. Fra      Log On

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Question 1198915: At the theatre there are six seats in a row. Eliot and Doug have three people between them. Chuck sits next to Eliot, but not next to Bob. Andy is on the end, but Eliot isn't. Frank is between a) Bob & Chuck b) Doug & Eliot c) Chuck & Doug d) Andy & Chuck e) Bob & Doug
Answer by ikleyn(52803) About Me  (Show Source):
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At the theatre there are six seats in a row. Eliot and Doug have three people between them.
Chuck sits next to Eliot, but not next to Bob. Andy is on the end, but Eliot isn't.
Frank is between a) Bob & Chuck b) Doug & Eliot c) Chuck & Doug d) Andy & Chuck e) Bob & Doug
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        From the context,  in this problem,  to be  " between "  means to be  " immediately between ".


So, we have 6 letters A, B, C, D, E, F.


There are 3 positions between E and D.
A is on the end, but E isn't.


So, from this description, the only possible configurations are these TWO,  A E C F B D  or  D B F C E A.  


In both these configurations, Frank is between Bob and Chuck.


ANSWER.  There are TWO and only two possible configurations, A E C F B D  or  D B F C E A,
         and in both configurations, Frank is between Bob and Chuck (option (a)).

Solved.