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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
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\(C^7_1*C^6_1\)
\(7*6=42\)

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!

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Re: A Car comes with 7 different possible exterior colors and 6 [#permalink] 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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Veritas Prep Statistics and Combinatorics Homework Question#74 [#permalink] New post 24 May 2015, 20:58
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!

[Reveal] Spoiler:
OA : (C)


Why the OA is correct, what am I missing? My answer choice is (D)
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Re: Veritas Prep Statistics and Combinatorics Homework Question#74 [#permalink] 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!

[Reveal] Spoiler:
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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Veritas Prep Statistics and Combinatorics Homework Question#74 [#permalink] New post 24 May 2015, 22:57
askhere wrote:
Please recheck the OA.

Answer should be B


Yes, you are right, I looked at wrong answer choice
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Re: A Car comes with 7 different possible exterior colors and 6 [#permalink] New post 25 May 2015, 00:41
Expert's post
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!

[Reveal] Spoiler:
OA : (C)


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


Merging topics.

Please read and follow: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: A Car comes with 7 different possible exterior colors and 6   [#permalink] 25 May 2015, 00:41
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