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A Car comes with 7 different possible exterior colors and 6

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A Car comes with 7 different possible exterior colors and 6 [#permalink] New post 10 Feb 2011, 11:49
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A Car comes with 7 different possible exterior colors and 6 different interior colors. How many different color combinations are there?

\(A. 26\)

\(B. 42\)

\(C. \frac{7!6!}{2!}\)

\(D. 7!6!\)

\(E. \frac{13!}{2!}\)
[Reveal] Spoiler: OA

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Re: Color Combinations [#permalink] New post 10 Feb 2011, 11:56
Expert's post
gmatpapa wrote:
A Car comes with 7 different possible exterior colors and 6 different interior colors. How many different color combinations are there?

\(A. 26\)

\(B. 42\)

\(C. \frac{7!6!}{2!}\)

\(D. 7!6!\)

\(E. \frac{13!}{2!}\)

Why not
[Reveal] Spoiler:
D


For each exterior color out of 7 there are 6 different interior colors possible, so there are total of 7*6=42 color combinations. This is basically the same as Principle of Multiplication: if one event can occur in \(m\) ways and a second can occur independently of the first in \(n\) ways, then the two events can occur in \(mn\) ways.

Answer: B.
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Re: Color Combinations [#permalink] New post 10 Feb 2011, 12:36
\(C^7_1*C^6_1\)
\(7*6=42\)

Ans: "B"
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Re: Color Combinations [#permalink] New post 10 Feb 2011, 15:53
42
This one was suspiciously easy - I spent one minute only thinking about the trap - little bit paranoid.
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Re: A Car comes with 7 different possible exterior colors and 6 [#permalink] New post 21 Oct 2014, 14:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A Car comes with 7 different possible exterior colors and 6 [#permalink] New post 21 Oct 2014, 14:27
craky wrote:
42
This one was suspiciously easy - I spent one minute only thinking about the trap - little bit paranoid.


I think that is a common problem. I know I've actually spent too long on a problem because I didn't trust in myself that I could have gotten a problem so easily. One way to get around this is to practice a lot so that you gain more confidence in your abilities and realize that the test will give you very easy questions sometimes.
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Re: A Car comes with 7 different possible exterior colors and 6   [#permalink] 21 Oct 2014, 14:27
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