Maths Olympiad Prep

Track / Stage 4 / 12 of 340 #272 of 1964

Problem 272

AMC 12 late, AIME early
Combinatorics Difficulty 4.5 Find the answer

14. Some students participate in three competitions, the first place gets 5 points, the second place gets 3 points, the third place gets 1 point, and no points for not placing. Then, how many points must a student get to definitely have more points than another student?

Pick one

Official solution

D\mathrm{D}

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.