# Mykel is picking out some movies to rent, and he has narrowed down his selections to 66 foreign films, 33 children's movies,

###### Question:

## Answers

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 = [tex]\frac{n!}{(n - a)!a!}[/tex]

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 = [tex]\frac{143!}{(143 - 33)!33!}[/tex] = [tex]\frac{143!}{110!33!}[/tex] 2.79 x 10³² combinations

∴ Mykel can make 2.79 x 10³² different combinations.

f

step-by-step explanation:

f

a

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