The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are <u>15 ways</u>.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
![_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15](https://tex.z-dn.net/?f=_4C_6%20%3D%20%5Cdfrac%7B6%21%7D%7B4%21%20%5Ctimes%20%286%20-%204%29%21%7D%20%20%3D%2015)
Therefore, the coach can select 4 of the 6 available swimmers in <u>15 unique ways</u>
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brainly.com/question/23589217