MathDB

1

Part of 2017 AIME Problems

Problems(2)

Wot n' Degeneration

Source: 2017 AIME I #1

3/8/2017
Fifteen distinct points are designated on △ABC\triangle ABC: the 3 vertices AA, BB, and CC; 33 other points on side AB‾\overline{AB}; 44 other points on side BC‾\overline{BC}; and 55 other points on side CA‾\overline{CA}. Find the number of triangles with positive area whose vertices are among these 1515 points.
2017 AIME I
Complementary Count of Monte Cristo

Source: 2017 AIME II #1

3/23/2017
Find the number of subsets of {1,2,3,4,5,6,7,8}\{ 1,2,3,4,5,6,7,8 \} that are subsets of neither {1,2,3,4,5}\{1,2,3,4,5\} nor {4,5,6,7,8}\{4,5,6,7,8\}.
complementary counting