Respuesta :
There are a total of 2304 different sets of five courses that are possible and this can be determined by using the given data.
Given :
- You are required to take five courses, one each in humanities, sociology, science, math, and music.
- You have a choice of 4 humanities courses, 6 sociology courses, 6 science courses, 2 math courses, and 8 music courses.
The following steps can be used to determine the different sets of five courses possible:
Step 1 - Multiply 4 humanities courses and 6 sociology courses.
[tex]= 4\times 6[/tex]
= 24
Step 2 - Multiply the above expression by 6 science courses.
[tex]=24\times 6[/tex]
= 144
Step 3 - Multiply the above expression by 2 math courses.
[tex]= 144\times 2[/tex]
= 288
Step 4 - Multiply the above expression by 8 music courses.
[tex]=288\times 8[/tex]
= 2304
There are a total of 2304 different sets of five courses that are possible.
For more information, refer to the link given below:
https://brainly.com/question/22122594
