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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]

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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?

\(A. 26\)

\(B. 42\)

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

\(D. 7!6!\)

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

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Re: Color Combinations  [#permalink]

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New post 10 Feb 2011, 11:56
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


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]

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New post 10 Feb 2011, 12:36
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\(C^7_1*C^6_1\)
\(7*6=42\)

Ans: "B"
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Re: Color Combinations  [#permalink]

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New post 10 Feb 2011, 15:53
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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]

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New post 21 Oct 2014, 14:27
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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: Veritas Prep Statistics and Combinatorics Homework Question#74  [#permalink]

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New post 24 May 2015, 22:39
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sandeepmanocha wrote:
A car is available in seven different exterior colors and six different interior colors. how many unique color combinations are possible?

(A) 26
(B) 42
(C) 7!6!/2!
(D) 7!6!
(E) 13!/2!

OA : (C)


Why the OA is correct, what am I missing? My answer choice is (D)


There are 7 different ways to choose an exterior color and 6 different ways to choose an interior color.
So the number of combinations is 7 * 6 = 42.

(Imagine A B C D E F G are the choices for exterior colors and H I J K L M are the choices for interior colors.
If you choose A as the exterior color you can choose any of H I J K L M as interior color. So 6 combinations when you choose A as exterior.
Similarly
If you choose B as the exterior color you can choose any of H I J K L M as interior color. So 6 combinations when you choose B as exterior.
So you can see that for each exterior color there is an option of 6 interior colors. So total possible combinations = 7*6 = 42 )

Please recheck the OA.

Answer should be B
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Re: A Car comes with 7 different possible exterior colors and 6  [#permalink]

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New post 01 Dec 2017, 08:00
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Re: A Car comes with 7 different possible exterior colors and 6   [#permalink] 01 Dec 2017, 08:00
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