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Two Couples and One Single Person are seated at random in a [#permalink]

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03 Aug 2005, 05:31

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Two Couples and One Single Person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacents chairs?

I felt this is equivalent to ask what is the probability of having
the single sitting in the middle seat. (that is the only situation
where the two couples are not sitting next to each other)

so that is 1 in 5, thus 1/5

the couple together's probability should be quite small,
4/5 seems to be too high.

Two Couples and One Single Person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacents chairs?