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

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2032
Location: Pakistan
GPA: 3.39
A foot race will be held on Saturday. How many different arrangements  [#permalink]

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24 Feb 2017, 12:33
1
00:00

Difficulty:

25% (medium)

Question Stats:

71% (00:24) correct 29% (00:41) wrong based on 40 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.

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Joined: 28 Dec 2011
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Re: A foot race will be held on Saturday. How many different arrangements  [#permalink]

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24 Feb 2017, 16:52
1
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.

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

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

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