Question

Minni is arranging 3 different music CDs in a row on a shelf. Create a sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R).

Answer 1

The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}

Answer 2

Answer with explanation:

There are three different music CD's on shelf, which are:

   jazz CD (J), a pop CD (P), and a rock CD (R).

When you will arrange three CD's in a row, order of putting CD's is Important. So, we will Apply the rule of Permutation.

Arrangement of three Distinct things can be done in either 3!  or $_{3}^{3}\textrm{P}$ ways.

= 3 × 2 ×1

= 6 ways

or

$=\frac{3!}{(3-3)!}\\\\=3!=3 \times 2 \times 1=6$

= {J PR, J RP, P R J, P J R, R P J, R J P}