Geometry Question

Student558

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Jul 27, 2020
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How many unique planes can be determined by four noncoplanar points? I keep looking this up but to no avail, there seems to be no answer that I can find. Is there anyone out there who could help answer this?
Thanks, Student558
 
How many unique planes can be determined by four noncoplanar points? I keep looking this up but to no avail, there seems to be no answer that I can find. Is there anyone out there who could help answer this?
Thanks, Student558

Well, rather than looking it up, can you think about it yourself? What thoughts do you have?

How many points does it take to determine a plane? How many ways are there to select that many points from the 4 you have?
 
This not so much a "geometry" problem as it is a "combinations" problem. There are 4 given points and any three will determine a plane. How many sets of three objects can be chosen from a set of four?
 
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