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03 Oct 2017, 02:05
Kudos
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Bunuel Thanks for the clarification.
31 Dec 2017, 01:44
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Can anyone please highlight the difference between the question under discussion and this question https://gmatclub.com/forum/triangle-abc ... 32573.html
How do we distinguish between the two?
How do we distinguish between the two?
31 Dec 2017, 02:36
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Rw27
Can anyone please highlight the difference between the question under discussion and this question https://gmatclub.com/forum/triangle-abc ... 32573.html
How do we distinguish between the two?
How do we distinguish between the two?
The main difference is the constraints.
In this question you are free to choose any 3 points on the plane (and then have to remove colinearities).
This means you choose 3 x coordinates and 3 y coordinates.
So the calculation is 9C3 - colinearities.
Colinearities in this problem are when all three points are on the same line and as explained above there are 8 such points.
In the question you linked to the constraints are much stronger:
Essentially, once you choose points A and C then point B is fixed.
So you're only choosing 2 x coordinates and 2 y coordinates.
You can do this as explained in the link - 6C1 * 11C1 * 5C1 * 10C1 = 3300
You can also calculate 66*(65-colinearities) = 66*50 = 3300
Colinearities in this problem are when points A and C are on the same line and there are 15 such options (10 horizontal, 5 vertical)
If all this is confusing, the bottom line is that the constraints are the main difference - are you choosing 3 points or 2?
Good luck!
