Maths Olympiad Prep

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Problem 862

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

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?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

Solution:

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

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.