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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
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (01:13) correct 14% (00:00) wrong based on 7 sessions
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: Color Combinations   [#permalink] 10 Feb 2011, 15:53
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A Car comes with 7 different possible exterior colors and 6

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