Discussion

Explanation:

If we select any two non-collinear points we will get a different line except when we select the 5 collinear points, we will get the same line again and again.

Total number of ways of choosing 2 points = ¹⁵C₂ = 105.

For collinear set of points, number of selecting 2 points = ⁵C₂ = 10. 

Now each of these 10 lines is same hence, we will subtract these 10 lines and add 1 line.

∴ Required answer = 105 – 10 + 1 = 96.

Hence, 96.

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