How many different straight lines can be formed by joining 12 different points on a plane of which 4 are collinear and the rest are non-collinear?
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Answer:
12
Step-by-step explanation:
No. of points =12
To draw a line two points are required.
If no three points are collinear then the no. of lines = 12C2
Since 5 points are collinear, using these 5 points we can draw only one line.
∴ The no. of different lines =12C2−5C2+1 (single line using collinear points)
=66−10+1=57
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