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# A list contains the surnames of six people, listed in order

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A list contains the surnames of six people, listed in order [#permalink]

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16 Sep 2006, 07:47
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A list contains the surnames of six people, listed in order of age from oldest to youngest. If no two people have the same surname or the same birthday, what is the approximate probability that the names could be made to be in alphabetical order by switching exactly one name with another?

(A) 0.01 (B) 0.02 (C) 0.03 (D) 0.05 (E) 0.08
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16 Sep 2006, 08:10
Total arrangements of names in alphabetical order is 6!=720. Selecting 2 out of 6 in 15 ways. The required prob is 15/720 or approx 0,02
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