To calculate: The number of ways in which 3 swimmers advance if there are eight swimmers in a competition where top three swimmers advance.
The resultantanswer is 336 ways.
Given information:
There are eight swimmers in a competition where top three swimmers advance.
Formula used: If
Where,
n is the number of trials
r is the number of successes.
Calculation:
The total number of swimmers is 8. The top three swimmers advance. It can be said that out of 8 swimmers 3 are to be selected.
Position matters here, therefore use permutation. Then the expression will become:
Rewrite the expression using the formula
Now expand the factorial,
Therefore, there are 336 ways in which three swimmers can advance.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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