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2019 Irish Math Olympiad
2
2
Part of
2019 Irish Math Olympiad
Problems
(1)
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
10/5/2020
Jenny is going to attend a sports camp for
7
7
7
days. Each day, she will play exactly one of three sports: hockey, tennis or camogie. The only restriction is that in any period of
4
4
4
consecutive days, she must play all three sports. Find, with proof, the number of possible sports schedules for Jennys week.
combinatorics