There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
Choose one
A) 15,624 B) 16,384 C) 6,144 D) 384 E) 240
If there are 5 rock songs then there are 2^5 ways to make a combination. But there should be atleast 1 Rock song, so the total Rock combination will be 2^5 -1   Similar explanation for Pop   But the album can be formed without any Jazz so 2^3   ((2^5)-1) * ((2^6)-1) * 2^3   15,624ns: 15624
<result>A</result>
There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?