Respuesta :
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}.
What is permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Minni is arranging 3 different music CDs in a row on a shelf.
Three CDs are a jazz cd (j), a pop cd (p), and a rock cd (r).
The sample space means all the possible ways to arrange the CDs.
Total arramgement = 3! = 3×2×1 = 6
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}
Thus, 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}.
Learn more about permutation and combination here:
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