In: Statistics and Probability
Howard is picking out some movies to rent, and he is primarily interested in documentaries and children's movies. He has narrowed down his selections to 8 documentaries and 9 children's movies. Step 2 of 2 : How many different combinations of 3 movies can he rent if he wants at least two children's movies?
Number of different combinations with at least 2 children's movies = number of combinations with 2 children's movies + number of combinations with 3 children's movies
= 9C2 * 8C1 + 9C3
= 36 * 8 + 84
= 372 (ans)