Question -
Answer -
Given:
Total number of points= 10
Number of collinearpoints = 4
Number of lines formed= (total no. of lines formed by all 10 points) – (no. of lines formed bycollinear points) + 1
Here, 1 is addedbecause only 1 line can be formed by the four collinear points.
= 10C2 – 4C2 +1
By using the formula,
nCr = n!/r!(n – r)!
= 90/2 – 12/2 + 1
= 45 – 6 + 1
= 40
∴ The total no. ofways of different lines formed are 40.