Olympiad Maths Prep

Track / Stage 3 / 239 of 260 #239 of 2000

Problem 239

AMC 10/12, early questions
Combinatorics Difficulty 3.9 Find the answer United States

Problem:

12 points are placed around the circumference of a circle. How many ways are there to draw 6 non-intersecting chords joining these points in pairs?

Official solution

Solution:

CC (number of chords) =C(6)=132= C(6) = 132.

Source: MathNet, licensed CC-BY-4.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.