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A foot race will be held on Saturday. How many different arrangements

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A foot race will be held on Saturday. How many different arrangements [#permalink]

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New post 24 Feb 2017, 12:33
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Question Stats:

69% (00:14) correct 31% (00:29) wrong based on 36 sessions

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A foot race will be held on Saturday. How many different arrangements of medal winners are possible?

(1) Medals will be given for 1st, 2nd, and 3rd place.
(2) There are 10 runners in the race.
[Reveal] Spoiler: OA

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Magoosh GMAT Instructor
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Re: A foot race will be held on Saturday. How many different arrangements [#permalink]

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New post 24 Feb 2017, 16:52
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SajjadAhmad wrote:
A foot race will be held on Saturday. How many different arrangements of medal winners are possible?

(1) Medals will be given for 1st, 2nd, and 3rd place.
(2) There are 10 runners in the race.

Dear SajjadAhmad,

I'm happy to help. :-)

I assume the medals for the three places are different medals, not all the same medal. This question could have been more careful about specifying the precise details.

Here's the analysis.
We can do no calculation if we don't know the number of participants, so #1 is not sufficient.
We can do no calculation if we don't know how many medals are given, so #2 is not sufficient.

Combine the statements. This question is basically testing whether the student knows the Fundamental Counting Principle. To the extent that it tests only one concept, this question is a "one-trick pony," relatively easy as GMAT Quant questions go.

In this question, 10 runners could come in first, then 9 would be left to come in second, then 8 would be left to come in third.

number of arrangements of medal winners = 10*9*8

We don't need to multiply. That product is the exact numerical answer to the prompt. Together, the statements are sufficient.

OA = (C)

Here's a more challenging DS problem:
Columbus elementary

Also, here's a relevant books review:
Princeton Review GMAT Book Review: Cracking the GMAT 2017

Does all this make sense?
Mike :-)
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Mike McGarry
Magoosh Test Prep

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Re: A foot race will be held on Saturday. How many different arrangements   [#permalink] 24 Feb 2017, 16:52
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