Rafael is picking out some movies to rent, and he is primarily interested in documentaries and foreign films. He has narrowed down his selections to 16 documentaries and 15 foreign films. How many different combinations of 4 movies can he rent if he wants at least one documentary?

Name: Solved: Rafael is picking out some movies to rent, and he is primarily interested in documentaries and foreign films. He has narrowed down his selections to 16 documentaries and 15 foreign films. How many different combinations of 4 movies can he rent if he wants at least one documentary? - MathMaster
Brand: MathMaster
Rating: 4.9 (82 reviews)

likes

411 views

Answer to a math question Rafael is picking out some movies to rent, and he is primarily interested in documentaries and foreign films. He has narrowed down his selections to 16 documentaries and 15 foreign films. How many different combinations of 4 movies can he rent if he wants at least one documentary?

$Expert avatar$

Madelyn

4.7

88 Answers

To determine how many different combinations of 4 movies Rafael can rent with at least one documentary involved, we can use the concept of combinations from combinatorics. The total number of ways to choose 4 movies from 31 total films (16 documentaries and 15 foreign films) is one part of the calculation. However, since Rafael wants at least one documentary, we should exclude the combinations where there are no documentaries at all. So, first, we calculate the total number of ways to pick any 4 movies, then subtract the number of ways to choose 4 movies that are all foreign films. Let's do the calculations step by step: 1. Calculate the total number of combinations of 4 movies he can rent from 31 films. 2. Calculate the number of combinations of 4 movies he can rent that are all foreign films. 3. Subtract the all-foreign-film combinations from the total combinations to get the number of combinations with at least one documentary. Rafael can rent 30,100 different combinations of 4 movies if he wants at least one documentary among his selections.

Frequently asked questions (FAQs)

Find the length of the hypotenuse in a right triangle where one angle measures 30 degrees and the shorter leg is 5 units long.

Find the angle (in degrees) for which the tangent is equal to 1.

Math question: What is 2/5 expressed as a percent?

New questions in Mathematics

The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?

In a random sample of 600 families in the Metropolitan Region that have cable television service, it is found that 460 are subscribed to the Soccer Channel (CDF). How large a sample is required to be if we want to be 95% confident that the estimate of “p” is within 0.03?

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?

1 plus 1

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)