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 1199047: 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 __
Answer by ikleyn(52752) 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 __
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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.