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There are 5 Rock songs 6 Carnatic songs and 3 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?
Wiki User
∙ 15y ago
Constant: 1 Rock song and 1 Carnatic song Solution: Rock Song has (5-1) combinations. Hence, 2^5 - 1 = 32 - 1 = 31 ways ------------------- (A) Carnatic Song: Carnatic Song has (6-1) combinations. Hence, 2^6 - 1 = 64 - 1 = 63 ways --------------------- (B) Indi pop: Indi pop can have all 3 combinations. Hence, 2^3 = 8 ways ------------------------------------ (C) From A, B and C we have: 31 * 63 * 8 = 15624 ways (Ans)
Wiki User
∙ 15y ago
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