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Anton [14]
3 years ago
9

Write a formula for the maximum number of segments determined by n points

Mathematics
2 answers:
Debora [2.8K]3 years ago
8 0

⇒Number of Points in the Plane = n

→There are two Possibility

Either All Points are Collinear, that is Lie Along a Line.

Or, They are, Non- Collinear.

To Determine a segment we need two distinct points.

If All "n" Points are Collinear,Distinct Number of Segment=1

If there are two points in plane, number of Distinct Segment

          =_{2}^{2}\textrm{C}\\\\=\frac{2!}{(2-2)! \times 2!}\\\\=1

If there are three points in plane, number of Distinct Segment

          =_{2}^{3}\textrm{C}\\\\=\frac{3!}{(3-2)! \times 2!}\\\\=3

If there are Four points in plane, number of Distinct Segment

          =_{2}^{4}\textrm{C}\\\\=\frac{4!}{(4-2)! \times 2!}\\\\=6

............................................................................................

..................................................................................

⇒So,If Points are Not Collinear,that is there are "n" points in the plane, then Distinct number of Segment

                           =_{2}^{n}\textrm{C}\\\\=\frac{n!}{2!\times (n-2)!}\\\\=\frac{n \times(n-1)}{2}

jeyben [28]3 years ago
7 0
Let n = the number of points
(x-1) + ... (x-x)

The last term will always be 0, when you reach that, stop.

ex. 1pt: 1-1=0
      2pt: (2-1) + (2-2) = 1
      3pt: (3-1) + (3-2) + (3-3) = 3

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serious [3.7K]

Answer:

Victor's equation did not correctly model the problem.

The equation that correctly modeled the problem:

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Step-by-step explanation:

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This shows that the equation put forward by Victor is wrong.

An equation that correctly represents the problem is the difference between the target savings and the amount already saved as stated above

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2 years ago
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3 0
3 years ago
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