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Question 1165806: Four points,no three of which are collinear,determine the six lines.How many planes do four non-collinear,non-coplanar points determine?
Answer by ikleyn(52766)   (Show Source):
You can put this solution on YOUR website! .
Every three non-collinear, non-coplanar points determine a plane (containing these points) by an unique way.
Therefore, the answer to the problem's question is  = 4 planes.
By the way, a tetrahedron, also known as a triangular pyramid, has 4 (four) faces due to the same reason.
Solved / with explanation.
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On Combinations, see introductory lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
- OVERVIEW of lessons on Permutations and Combinations
in this site.
In particular, you will find there another similar problems solved.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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