Question

Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the race.

Answer 1

\[8!\]

Answer 2

8 choices to come in first
7 for secone
6 for third
5 for fourth
4 for fifth
3 for sixth
2 for seventh then 1 for eighth
by the counting principle, multiply the choices together, get
\[8!=8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\]

Answer 3

Thank you!