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Any buyer of a new sports car has to pick between 2 of 5 opt

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Director
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Any buyer of a new sports car has to pick between 2 of 5 opt [#permalink] New post 15 Mar 2018, 20:50
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Question Stats:

57% (01:25) correct 42% (00:00) wrong based on 7 sessions
Any buyer of a new sports car has to pick between 2 of 5 options for seat colors and 3 of 4 options for dashboard accessories. How many different combinations of colors and dashboard options are available to this buyer?

A)5
B)6
C)20
D)40
E)396
[Reveal] Spoiler: OA
Director
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Joined: 07 Jan 2018
Posts: 555
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Kudos [?]: 482 [0], given: 84

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Re: Any buyer of a new sports car has to pick between 2 of 5 opt [#permalink] New post 17 Mar 2018, 05:11
This is a combination problem. Question explicity states this so it reduces our work to figure out whether the problem is a permutation or a combination.
Now for \(2\) of \(5\) option for seat color gives \(5c2 = 10\)
for \(3\) of \(4\) option for dashboard accessories gives \(4c3 = 4\)
The mention of and in the question between seat color and dashboard acessories means the ans should be
\(10* 4\) rather than \(10 +4\) so \(10*4 = 40\)
option D
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Re: Any buyer of a new sports car has to pick between 2 of 5 opt [#permalink] New post 22 Mar 2018, 04:29
Break it into stages. In the first stage 5C2 and in the second stage 4C3. Order does not matter, so 10 * 4 = 40
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Re: Any buyer of a new sports car has to pick between 2 of 5 opt   [#permalink] 22 Mar 2018, 04:29
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Any buyer of a new sports car has to pick between 2 of 5 opt

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