Jenny is going to attend a sports camp for 7 days, 1 of 3 sports each day
Source: 2019 Irish Mathematical Olympiad paper 1 p2
October 5, 2020
combinatorics
Problem Statement
Jenny is going to attend a sports camp for days. Each day, she will play exactly one of three sports: hockey, tennis or camogie. The only restriction is that in any period of consecutive days, she must play all three sports. Find, with proof, the number of possible sports schedules for Jennys week.