Given:
Minni is arranging 3 different music CDs in a row on a shelf.
To find:
The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R).
Solution:
We know that the total number of ways to arrange n items is n!.
Minni is arranging 3 different music CDs in a row on a shelf. So, the total number of ways is:
![3!=3* 2* 1](https://img.qammunity.org/2022/formulas/mathematics/college/d5kbcubtlz51hk58d0ct4r011tb5cufpqn.png)
![3!=6](https://img.qammunity.org/2022/formulas/mathematics/high-school/3hd8yqeyco143a0cowccw565rnoipkrnmt.png)
The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
Therefore, the required sample space is {JPR, JRP, PJR, PRJ, RJP, RPJ}.