There are 5 Rock songs, 6 country songs and 3 hip-hop songs. How many different albums can be formed using the songs if the albums should contain at least 1 Rock song and 1 Country song?

Question

My solution: total number of songs is 5!6!3!=518,400 the number of different albums is 5x6x14C3 Is this correct. Thanks in advance.

Answer 1

As Steve already pointed out to you, the question is not clearly stated.
http://www.jiskha.com/display.cgi?id=1476444898

How many songs are on the album?
The way you stated it , we could have
3 R, 4 C, and 1 H as an album, or
1R, 1H, or ...

What about the order of the songs?
Once you choose a certain group of songs, they can then be arranged in different ways.
Is a different arrangements of the same songs a different album??

Answer 2

That is why it is so confusing. As I understand, there are 14 songs in total. The album should be formed from those songs and at least 1 rock song and 1 country song should be used.