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

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CEO
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 701 [0], given: 781

5 people in a race. how many different ways can they finish [#permalink]  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
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 701 [0], given: 781

[#permalink]  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
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 10 [0], given: 0

[#permalink]  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
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 701 [0], given: 781

[#permalink]  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
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 10 [0], given: 0

[#permalink]  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
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 701 [0], given: 781

[#permalink]  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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