tmua None Q13

tmua · Uk · specimen_paper2 Permutations & Arrangements Linear Arrangement with Constraints
13. Five runners competed in a race: Fred, George, Hermione, Lavender, and Ron.
Fred beat George. Hermione beat Lavender. Lavender beat George. Ron beat George.
Assuming there were no ties, how many possible finishing orders could there have been, given only this information?
A 1
B 6
C 12
D 18
E 24 F 120
13. Five runners competed in a race: Fred, George, Hermione, Lavender, and Ron.

Fred beat George.\\
Hermione beat Lavender.\\
Lavender beat George.\\
Ron beat George.

Assuming there were no ties, how many possible finishing orders could there have been, given only this information?

A 1\\
B 6\\
C 12\\
D 18\\
E 24\\
F 120\\