Question 1198919: 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
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198)   (Show Source):
You can put this solution on YOUR website!
Number the seats 1 through 6.
(1) Eliot and Doug have three people between them.
That means Eliot and Doug are either in seats 1 and 5, or seats 2 and 6.
E 2 3 4 D 6 or 1 E 3 4 5 D
(2) Andy is on the end, but Eliot isn't.
With (1), that means Eliot and Doug are in seats 2 and 6, respectively. Then, since Andy is on an end, he is in seat 1.
A E 3 4 5 D
(3) Chuck sits next to Eliot but not next to Bob.
That means Chuck is in seat 3 and Bob is in seat 5.
A E C 4 B D
That leaves Frank in seat 4, between Chuck and Bob.
ANSWER: a)
Answer by ikleyn(52776)  (Show Source):
You can put this solution on YOUR website! .
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.
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