a.
To identify:Whether the order in which the videos are selected make a difference or not. If they have selected 7 videos but will only have time to watch 3 videos together.
No, order doesn’t matter.
Given information:
They have selected 7 videos but will only have time to watch 3 videos together.
Explanation:
Consider the given information.
They have 7 videos and all are different.
They have time to watch 3 videos together.
Here order doesn’t matter because they can see these three videos in any order.
Switching order doesn’t make any differences.
b.
To calculate: The number of ways in which they can select 3 videos to watch if theyand friends picking up videos at a video store together. Also mention the formula which can be used.They have selected 7 videos but will only have time to watch 3 videos together.
The required formula is:
Given information:
It is given that friends have selected 7 videos but will only have time to watch 3 videos together.
Formula used: If
Calculation:
The order of the video selection does not matter, so the formula for combination must be used.
The number of ways in which 3 videos can be selected from a group of 7 videos,
Rewrite the expression using the formula
Now expand the factorial,
Therefore, there are 35 ways in which 3 videos to watch can be selected.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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