Answer:
The tile of the first member of the court who was killed is an Earl
Step-by-step explanation:
The parameters given are;
Number of members in the court = 2020
Members of the court = Dukes = D, Earls = E and Barons = B
D only killed E, E only killed B and B only killed D
Therefore, the possible duels (combinations) are;
3! = 6 = DD, DE, DB, EB, EE, BB
Given that no one won a duel twice, we have that then DD, BB, and EE could not have occurred as it would result in one winning twice because D only killed E, E only killed B and B only killed D;
The relevant combinations are;
DE, DB, EB
The last person alive was a, baron, B, therefore, he killed a Duke, D, who killed an Earl, E
Given that there were 2020 members, there can be only 2020 - 1 duels = 2019 duels
Following the sequence, BD→DE→EB we have, 2019/3 = 673 complete repiting cycles
So, from the start, we have, a Baron killed an Earl, the Earl killed a Duke, and the Duke killed a Baron, making the tile of the first member of the court to be killed to be an Earl.
