Respuesta :
the answer is 12 i have answered a question just like dis disrigard the 1 and the genres just add the total number of cds
We have been given that we can choose 1 of 4 country CDs, 1 of 3 soul CDs, or 1 of 5 pop CDs.
We need to figure out number of ways in which we can choose 1 CD of each kind from available options.
To figure out number of ways in which we can choose 1 CD of each kind we will use combinations.
First of all we will figure out number of ways of choosing 1 CD out of 4 country CDs, then we will figure out number of ways of choosing 1 CD out of 3 soul CDs. We will also determine number of ways of choosing 1 CD out of 5 pop CDs.
Number of ways of choosing 1 CD out of 4 country CDs =
[tex](_{1}^{4}\textrm{c})=\frac{4!}{3!1!}=\frac{4\cdot 3!}{3!}=4[/tex]
Number of ways of choosing 1 CD out of 3 soul CDs =
[tex]\\(_{1}^{3}\textrm{c})=\frac{3!}{2!1!}=\frac{3\cdot 2!}{2!}=3[/tex]
Number of ways of choosing 1 CD out of 5 pop CDs =
[tex]\\(_{1}^{5}\textrm{c})=\frac{5!}{4!1!}=\frac{5\cdot 4!}{4!}=5[/tex]
Therefore total number of ways to select 1 CD is [tex]4\cdot 3\cdot 5=60\text{ways}[/tex]
