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rusak2 [61]
3 years ago
12

Davon is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 3 documentaries, 6 com

edies, and 5 mysteries. How many different combinations of 9 movies can he rent if he wants all 6 comedies?
Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

220

Step-by-step explanation:

There are 6 comedies and 12 non-comedies.  He wants all 6 of the comedies, and 3 of the non-comedies.

The number of ways he can choose 6 comedies from 6 is ₆C₆ = 1.

The number of ways he can choose 3 non-comedies from 12 is ₁₂C₃ = 220.

So the total number of combinations is 1 × 220 = 220.

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