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Car X can come with any of these 5 additional features: sunr
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02 Feb 2020, 04:35
02 Feb 2020, 04:35
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Question Stats:
89% (00:52) correct
10% (00:47) wrong based on 89 sessions
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Car X can come with any of these 5 additional features: sunroof, stereo, tinted windows, leather seats and cruise control. Any car might have none of those, or any one of those, or any combination of more than one, or even all five together.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of different combinations possible |
25 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: Car X can come with any of these 5 additional features: sunr
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03 Feb 2020, 08:26
03 Feb 2020, 08:26
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Here we have to compute the different combinations for the different possibilities:
0 features: 0C5 = 1
1 feature: 1C5 = 5
2 features: 2C5 = 10
3 features: 3C5 = 10
4 features: 4C5 = 5
5 features: 5C5 = 1
# of possible combinations = 1+5+10+10+5+1 = 32
32 > 25 --> A > B --> A is correct
0 features: 0C5 = 1
1 feature: 1C5 = 5
2 features: 2C5 = 10
3 features: 3C5 = 10
4 features: 4C5 = 5
5 features: 5C5 = 1
# of possible combinations = 1+5+10+10+5+1 = 32
32 > 25 --> A > B --> A is correct
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Car X can come with any of these 5 additional features: sunr
[#permalink]
03 Feb 2020, 10:25
03 Feb 2020, 10:25
3
huda wrote:
Car X can come with any of these 5 additional features: sunroof, stereo, tinted windows, leather seats and cruise control. Any car might have none of those, or any one of those, or any combination of more than one, or even all five together.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of different combinations possible |
25 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Take the task of choosing additional features and break it into stages
Stage 1: Determine whether the car will have a sunroof
There are only two options here: get the sunroof OR don't get the sunroof
So, we can complete stage 1 in 2 ways
Stage 2: Determine whether the car will have a stereo
There are only two options here: get the stereo OR don't get the stereo
So, we can complete stage 2 in 2 ways
The same set up applies to the remaining three stages...
Stage 3: Determine whether the car will have tinted windows
We can complete the stage in 2 ways
Stage 4: Determine whether the car will have leather seats
We can complete the stage in 2 ways
Stage 5: Determine whether the car will have cruise control
We can complete the stage in 2 ways
By the Fundamental Counting Principle (FCP), we can complete all 5 stages in (2)(2)(2)(2)(2) ways (= 32 ways)
We get:
QUANTITY A: 32
QUANTITY B: 25
Answer: A
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
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