# SOLUTION: How many line segments can be drawn between 12 noncollinear points?

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 Question 622522: How many line segments can be drawn between 12 noncollinear points?Answer by Edwin McCravy(8908)   (Show Source): You can put this solution on YOUR website!How many line segments can be drawn between 12 noncollinear points? ```Suppose those 12 noncollinear points are labeled A,B,C,D,E,F,G,H,I,J,K,L. Then every possible combination of 2 letters from that set of 12 indicates a different line segment. So the answer is The number of combinations of 12 things taken 2 at a time, aka 12 Choose 2 or aka 12C2 or aka C(12,2) which is calculated or or 66. Here are all 66 line segments listed below. 1. AB 2. AC 3. AD 4. AE 5. AF 6. AG 7. AH 8. AI 9. AJ 10. AK 11. AL 12. BC 13. BD 14. BE 15. BF 16. BG 17. BH 18. BI 19. BJ 20. BK 21. BL 22. CD 23. CE 24. CF 25. CG 26. CH 27. CI 28. CJ 29. CK 30. CL 31. DE 32. DF 33. DG 34. DH 35. DI 36. DJ 37. DK 38. DL 39. EF 40. EG 41. EH 42. EI 43. EJ 44. EK 45. EL 46. FG 47. FH 48. FI 49. FJ 50. FK 51. FL 52. GH 53. GI 54. GJ 55. GK 56. GL 57. HI 58. HJ 59. HK 60. HL 61. IJ 62. IK 63. IL 64. JK 65. JL 66. KL Edwin```