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find no. of straight lines that can be drawn through any two points out of 10 points, of which 7 are collinear?

find no. of straight lines that can be drawn through any two points out of 10 points, of which 7 are collinear?

Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 years ago
Hi,

The no of st. lines from 10 points is 10c2. As selecting 2 points of 10 point will give us a line.

But wait, 7 of them are colinear, means we can only draw single line from those 7 points, so subtract 7c2 but dont forget to add one , as these 7 points can make one line.

So the answer is 10c2 – 7c2 + 1

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