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 album should contain at least 1 rock song and 1 country song?

Answer 1

5*6*2^12

You don't say how many songs are to be used, so after choosing the 1 each of country and rock, there are 12 remaining songs. The power set of 12 elements has 2^12 members.

Answer 2

I don't think that is the correct answer. The total number of songs 5+6+3 so I guess 14C5x14C6x14C3-5C1x6C1 I'm just very confused. Thanks