.
Each triangle is determined in a UNIQUE way by its three vertices.
THEREFORE, the number of triangle in this problem is equal to the number of all sets of three points
that can be chosen from 8 given noncollinear points.
It is the number of combinations of 3 points chosen from 8 points
= = 8*7 = 56. ANSWER
Solved, answered and explained.
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This problem is on COMBINATIONS.
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.
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.