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# There are 5 cars to be displayed in 5 parking spaces with all the cars

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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
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Re: There are 5 cars to be displayed in 5 parking spaces with all the cars  [#permalink]

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31 May 2020, 23:36
1
RiseAndShinee wrote:
vinayakvaish wrote:
Hi

Can anyone please explain, why the answer here is not 40. (5!/3!)*2
In a parking slot all cars can face 2 directions right? and these 2 directions will comprise of 2 different arrangements.

I second this.

Note that when we make people stand in a line, we do not worry about how they are facing and the assumption is that they all are facing in the same direction. The arrangements are relative to each other, not relative to the environment. Here, the questions mentions that all cars are facing the same direction. Whether they all are facing east or all are facing west doesn't matter because relative to each other, the arrangements are the same.

Anyway, don't worry. Before questions go live, they are experimental for a fair bit of time to ensure that such issues are rectified. Say if 50% people with scores 650+ answer 20 and 50% answer 40, they know that the statements in the question are being evaluated differently by different people.
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Re: There are 5 cars to be displayed in 5 parking spaces with all the cars  [#permalink]

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03 Jun 2020, 00:39

RED. 3C5 = 10

BLUE 1C5 = 5

YELLOW 1C5 = 5

5+5+10= 20 possible combinations.
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Re: There are 5 cars to be displayed in 5 parking spaces with all the cars  [#permalink]

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09 Jun 2020, 07:10
It's a parking lot/space. Logic dictates there are parking spaces/lines defined, thus 2 directions a car could face within those lines. I know 20 is the 'official' answer, but the fact that GMAC included this bit of information in the question stem makes it very confusing, because now those of us that read the question and figured there'd be a x2 multiplier at the end of the arrangement would end up with the 'wrong' answer of 40. Agree to disagree.
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There are 5 cars to be displayed in 5 parking spaces with all the cars  [#permalink]

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09 Jun 2020, 07:37
juxmba wrote:
It's a parking lot/space. Logic dictates there are parking spaces/lines defined, thus 2 directions a car could face within those lines. I know 20 is the 'official' answer, but the fact that GMAC included this bit of information in the question stem makes it very confusing, because now those of us that read the question and figured there'd be a x2 multiplier at the end of the arrangement would end up with the 'wrong' answer of 40. Agree to disagree.

Completely understand your frustration. But it is also given that the cars are facing the same direction - telling you that the direction should not be accounted for.
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Re: There are 5 cars to be displayed in 5 parking spaces with all the cars  [#permalink]

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10 Jun 2020, 10:00
total no of ways ca can be arrange : 5!
identical car : 3, so we have to divide by 3!

Solution : 5!/3! =120/6 = 20
Re: There are 5 cars to be displayed in 5 parking spaces with all the cars   [#permalink] 10 Jun 2020, 10:00

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