Answer:
Mykel can make 2.79 x 10³² different combinations
Step-by-step explanation:
We can solve this problem using combination
The formula for combination is ⁿCₐ =
where n = total number of choices available
a = number of items being chosen
The total movies Mykel wants is 99.
Taking out the sure 66 drama movies,
Mykel is left with 99 - 66 choices = 33 choices.
The total number of choices he is left with is 66 foreign + 33 children + 44 documentaries = 143 movies
Hence, our n = 143 movies
and a = 33 choices
Hence we do, ¹⁴⁴C₃₃ = =
2.79 x 10³² combinations
∴ Mykel can make 2.79 x 10³² different combinations.