Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The batting order for nine players on a team with 11 people.

Given:

The batting order for nine players on a team with 11 people.

To find:

The number of possibilities for the given scenario.

Solution:

First, we need to select 9 players from 11 people, it involves combination, i.e. .

Second, we need to arrange the order of 9 selected players, it involves permutation, i.e., .

The number of possibilities for the given scenario is:

Therefore, the following scenario involves both permutation and combination, and the number of possibilities is 19958400.

hiking down a winding trail.

step-by-step explanation: