mdbharadwaj wrote:
I thought of that, however the questions asks for the number of line segments that can be formed between any 2 points.
Consider numbers 1,2,3,4 on the number line.
So line 1-2 is different from line 3-4. 1-2 is an unique line between points 1 and 2 so is 3-4. And the number doesn't increase significantly , as there will be a maximum of 28 lines.
Because if we consider the line joining the 4 collinear points to be 1 single line or to be 6 different lines, the number of lines between the the non collinear points themselves and the collinear points will not change. there will be 16+6 = 22 lines only.
Hope I got my point across.
Lemme just clarify my idea over this. Please refer to my *supremely sloppy* paint-work attached (Apologize for that
). You can see, that A, B and C lie on the line L. Now As the question states:
Quote:
How many straight lines can be formed by joining any 2 points from the 8 points ?
Now, If I am to consider a straight line passing through A and B, it would be L. Again if I am to consider a straight line passing through B and C, it would be L. Same is the case for A and C as well. The A-B, B-C and C-A are segments. L is the only unique straight line passing through the collinear points. Getting back to the question, you are spot-on for the 16 and 6 values. After adding the one line that passes through the collinear points, I believe you have the answer!
Hope I am correct! Mods please verify!
Regards,
Arpan
**edited for a typo! sorry!
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