How many straight lines can be drawn though four distinct non collinear points
Answers
Answered by
14
So, we have 4 non collinear points, from the first point we can draw 3 lines towards the remaining 3 points. (1–2, 1–3, 1–4)
Next, for the second point, we can draw 2 lines (3 remaining points, while one of them is already connected with a line). (2–3, 2–4)
For the third point, using the same analogy from above, we can only draw a single line. (3–4)
Lastly, for the fourth point, you’ll notice we’ve already connected it to all the other points, so the final solution is:
3 + 2 + 1 = 6
Lines: A–B, A–C, A–D, B–C, B–D, C–D
Next, for the second point, we can draw 2 lines (3 remaining points, while one of them is already connected with a line). (2–3, 2–4)
For the third point, using the same analogy from above, we can only draw a single line. (3–4)
Lastly, for the fourth point, you’ll notice we’ve already connected it to all the other points, so the final solution is:
3 + 2 + 1 = 6
Lines: A–B, A–C, A–D, B–C, B–D, C–D
Answered by
12
Answer:
Six is the correct ans.
Similar questions