Maths Olympiad Prep

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Combinatorics Difficulty 3.9 AMC 10/12 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?

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

Solution

Solution:

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

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