You are choosing a cd from your friend’s music collection. you can choose 1 of 4 country cds, 1 of 3 soul cds, or 1 of 5 pop cds. how many ways can you choose a cd? question 2 options: 10 12 48 60

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 =

Number of ways of choosing 1 CD out of 3 soul CDs =

Number of ways of choosing 1 CD out of 5 pop CDs =

Therefore total number of ways to select 1 CD is

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints