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Four couples are going to the movie. Each row holds eight
seats. Betty and Jim don't want to sit next to Alice and
Tom. Alice and Tom don't want to sit next to Gertrude and
Bill. On the otherhand, Sally and Bob don't want to sit next
to Betty and Jim.
How can the couples arrange themselves in a row so that they
all sit where they would like?
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Answer Posted / guest
From the given data, it can be inferred that:
(Sally & Bob) NOT (Betty & Jim) NOT (Alice & Tom) NOT
(Gertrude & Bill)
(A) NOT (B) means A and B can not seat next to each other.
Now, it is obvious that (Betty & Jim) and (Alice & Tom) will
occupy the corner seats as both of them can have only one
neighbour. Therefore,
(Gertrude & Bill) will seat next to (Betty & Jim)
(Sally & Bob) will seat next to (Gertrude & Bill)
(Alice & Tom) will seat next to (Sally & Bob)
Thus, there are two possible arrangements - a mirror images
of each other.
1. (Betty & Jim) - (Gertrude & Bill) - (Sally & Bob) -
(Alice & Tom)
2. (Alice & Tom) - (Sally & Bob) - (Gertrude & Bill) -
(Betty & Jim)
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