On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?

I think that there needs to be a bit more context for this question

(what are yo currently studying). There are several interoperations that are possible. Do the songs matter, or is it just sad vs happy?

if titles don't matter than I guess the answer would be 12: 1 sad, then 2 sad, then 3 sad, et. up to 12. The happy ones don't matter because there less sad ones.  I think you are wanting to consider "combinations". Once again

the upbeat list should not matter... if you add only one sad song you can have 12 lists. If you add two sad songs the combinations are 66 (see the list)

If you consider all sad song unique quantities, then 4095 would be the total

C(n,r)=(nr)=n!/(r!(n−r)!)

1-12

2-66

3-220

4-495

5-792

6-924

7-792

8-495

9-220

10-66

11-12

12-1

total--4095

Step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!