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Is OG wrong in this question's answer?

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Intern
Joined: 08 Aug 2018
Posts: 41
Location: India
GMAT 1: 720 Q49 V40
GPA: 4
WE: Engineering (Energy and Utilities)

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12 Oct 2018, 15:45
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions

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There are 5 cars to be displayed in 5 parking spaces, with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
(A) 20 (B) 25 (C) 40 (D) 60 (E) 125

The official answer is 20 which can be arrived by the formula 5!/3!. However, the question refers to direction also. My initial answer was 60 because I assumed that the cars can be arranged in opposite direction also?

Am I stretching my imagination?
RC Moderator
Joined: 24 Aug 2016
Posts: 673
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16

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12 Oct 2018, 20:38
PLUTO wrote:
There are 5 cars to be displayed in 5 parking spaces, with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
(A) 20 (B) 25 (C) 40 (D) 60 (E) 125

The official answer is 20 which can be arrived by the formula 5!/3!. However, the question refers to direction also. My initial answer was 60 because I assumed that the cars can be arranged in opposite direction also?

Am I stretching my imagination?

With the phrase "with all the cars facing the same direction" , they already have restricted the arrangement in 1 direction.
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Intern
Joined: 03 Mar 2015
Posts: 4
Location: India
Concentration: Technology, Entrepreneurship

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12 Oct 2018, 21:05
u1983 wrote:
PLUTO wrote:
There are 5 cars to be displayed in 5 parking spaces, with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
(A) 20 (B) 25 (C) 40 (D) 60 (E) 125

The official answer is 20 which can be arrived by the formula 5!/3!. However, the question refers to direction also. My initial answer was 60 because I assumed that the cars can be arranged in opposite direction also?

Am I stretching my imagination?

With the phrase "with all the cars facing the same direction" , they already have restricted the arrangement in 1 direction.

But "same direction" doesn't have to be in just one direction. The direction can be same for all the cars in multiple cases (2 in this case).

I think the important part here is the word "arrangement", which I think in this case refers only to the arrangement of colors because everything else is identical according to the question stem. So even if you consider multiple directions, the color arrangement would still be repititive.
Math Expert
Joined: 02 Sep 2009
Posts: 52911

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12 Oct 2018, 22:46
PLUTO wrote:
There are 5 cars to be displayed in 5 parking spaces, with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
(A) 20 (B) 25 (C) 40 (D) 60 (E) 125

The official answer is 20 which can be arrived by the formula 5!/3!. However, the question refers to direction also. My initial answer was 60 because I assumed that the cars can be arranged in opposite direction also?

Am I stretching my imagination?

Discussed here: https://gmatclub.com/forum/there-are-5- ... 88100.html
_________________
Re: Is OG wrong in this question's answer?   [#permalink] 12 Oct 2018, 22:46
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