Question

There are 4 Rock songs, 5 Carnatic songs and 2 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?

• A. 110
• B. 100
• C. 90
• D. 130
• E. None of these

Answer 1

The correct option is A

110

The number of different albums that can be made using the given condition is = ${}^{11}{C}_3$ – ${}^7{C}_3$ – ${}^6{C}_3$ = 110