Problem #PRU-116661

Problems Fun Problems Word Problems Solving problems by inequalities. Going through the cases. Algebra Sequences Progressions Arithmetic progression Methods Pigeonhole principle Pigeonhole principle (other) Proof by contradiction
 10–12  3.0

Problem

Can \(100\) weights of masses \(1,2,3,\dots,99,100\) be arranged into \(10\) piles, all of different total masses, so that the heavier a pile is, the fewer weights it contains?