MathDB
BMT 2022 General p17

Source:

September 28, 2023
combinatorics

Problem Statement

Midori and Momoi are arguing over chores. Each of 55 chores may either be done by Midori, done by Momoi, or put off for tomorrow. Today, each of them must complete at least one chore, and more than half of the chores must be completed. How many ways can they assign chores for today? (The order in which chores are completed does not matter.)