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.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right