If there are eleven people on the team and nine positions, how many total arrangements of the players can be made?

Because the nine positions are distinct, the order in which players are assigned matters. There are 11 choices for the first position, 10 for the next, and so on down to 3 choices for the ninth, giving 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 = 19,958,400 arrangements. The correct choice is 19,958,400.

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