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An automobile manufacturer offers a station wagon with eithe

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An automobile manufacturer offers a station wagon with eithe [#permalink] New post 27 Jun 2013, 00:46
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Question Stats:

63% (01:47) correct 37% (00:55) wrong based on 67 sessions
An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

[Reveal] Spoiler:
The answer to this question is 3*2 or am I missing out on something?
[Reveal] Spoiler: OA

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Re: An automobile manufacturer offers a station wagon with eithe [#permalink] New post 27 Jun 2013, 00:57
Expert's post
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fozzzy wrote:
An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

[Reveal] Spoiler:
The answer to this question is 3*2 or am I missing out on something?


6-cylinder engine wagons = 2*2 = 4 (manual or automatic, with or without trailer);
4-cylinder engine wagons = 2 (manual or automatic).

Total = 4 + 2 = 6.

Answer: D.
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Re: An automobile manufacturer offers a station wagon with eithe [#permalink] New post 25 Mar 2015, 02:42
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Re: An automobile manufacturer offers a station wagon with eithe [#permalink] New post 25 Mar 2015, 11:47
Expert's post
Hi All,

Sometimes Combination Formula questions come with answers that are relatively small. In this prompt, we know that there are at least 3 options, but no more than 8 options. In these situations, it's usually pretty easy to "map out" all of the possible combinations, without having to do any special math.

We're told that a station wagon has a variety of 'traits':
1) Either a 6-cylinder engine or a 4-cylinder engine
2) Either a manual transmission or an automatic transmission
3) A trailer hitch (but ONLY on a 6-cylinder engine)

We're asked for the number of different combinations of traits on a station wagon. We can list them out:

6 cyl and manual
6 cyl and manual and hitch
6 cyl and automatic
6 cyl and automatic and hitch
4 cyl and manual
4 cyl and automatic

Total combinations = 6

Final Answer:
[Reveal] Spoiler:
D


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Re: An automobile manufacturer offers a station wagon with eithe   [#permalink] 25 Mar 2015, 11:47
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