Mykel has 6 dramas to choose from, which means he must choose all of them.
Now he has to choose 3 additional movies from the remaining options (6 foreign films, 3 children's movies, and 4 documentaries).
The number of ways to choose 3 movies from the remaining options is given by the combination formula:
nCr = n! / r!(n-r)!
where n is the total number of options and r is the number of choices.
In this case, n = 13 (6 foreign films + 3 children's movies + 4 documentaries) and r = 3.
13C3 = 13! / 3!(13-3)! = 286
So Mykel can rent a total of 286 different combinations of 9 movies if he wants all 6 dramas.
Mykel is picking out some movies to rent, and he has narrowed down his selections to 6
foreign films, 3
children's movies, 6
dramas, and 4
documentaries. How many different combinations of 9
movies can he rent if he wants all 6
dramas?
1 answer