Three persons are said to form a Triangle if all of them know each other or none of them
know each other. Six persons are chosen from a population. What is the minimum number of
Triangles that can be found among these six persons? The minimum is taken over all possible
population and all possible choice of six persons.
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Answer:
The people must be arranges in hexagonal shape to get the max no. Of triangles.....
The pic is in the attachment below u can refer it
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The minimum number of triangles that can be formed among the six persons is 2 .
- According to the question ,
a triangle will only form when three persons know each other or one of them know each other.
- When three persons out of six know each other and the remaining three did not know each other then the minimum number of triangles can be formed that is 2 .
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