2014 AIME I Problems/Problem 5
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Problem 5
Let the set consist of the twelve vertices of a regular
-gon. A subset
of
is called "communal" if there is a circle such that all points of
are inside the circle, and all points of
not in
are outside of the circle. How many communal subsets are there? (Note that the empty set is a communal subset.)
Solution
See also
2014 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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