Question
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
Hint:
Try joining the non collinear points.
The correct answer is: So the sequence is 3, 6, 10
Complete step by step solution:
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
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