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5 people in a race. how many different ways can they finish

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CEO
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5 people in a race. how many different ways can they finish [#permalink] New post 08 Jan 2004, 09:59
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5 people in a race. how many different ways can they finish the race if Andy always finished ahead of John.
CEO
CEO
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Joined: 15 Aug 2003
Posts: 3470
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Kudos [?]: 665 [0], given: 781

 [#permalink] New post 08 Jan 2004, 12:49
stoolfi wrote:
5! /2

60?


is it that simple ..

god..i took like 5 minutes..


i fixed John in every position and then calculated the permutations

i get 60 alright.
Director
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 [#permalink] New post 08 Jan 2004, 13:31
Quote:
is it that simple ..



Well, praetorian, half the time John beats Andy, half the time Andy beats John.

But you probably realized that by now...
CEO
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Joined: 15 Aug 2003
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 [#permalink] New post 08 Jan 2004, 14:41
stoolfi wrote:
Quote:
is it that simple ..



Well, praetorian, half the time John beats Andy, half the time Andy beats John.

But you probably realized that by now...


did you just assume that?
Director
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 [#permalink] New post 08 Jan 2004, 15:08
Either case is just as likely, so yes, I just assumed it. Do you think the assumption is unwarranted?
CEO
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Joined: 15 Aug 2003
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 [#permalink] New post 09 Jan 2004, 00:30
stoolfi wrote:
Either case is just as likely, so yes, I just assumed it. Do you think the assumption is unwarranted?


yes, i get it now...since nothing is known about the ability of the participants, its reasonable to assume 1/2 chance of either of them finishing ahead of each other.

thanks
praetorian
  [#permalink] 09 Jan 2004, 00:30
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5 people in a race. how many different ways can they finish

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