MathMaster logo

MathMaster

  1. Home
  2. general
  3. rafael is picking out some movies to rent and he is primarily interested in documentaries and foreign films he has narrowe
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?

82

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
86 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)
What is the lateral area of a right circular cylinder with radius "r" and height "h"? (
+
Question: What is the maximum value of the continuous function f(x) = x^2 - 4x + 5 on the closed interval [1, 5]?
+
Math question: The linear function f(x) = x represents a straight line on a graph. It has a slope of 1 and passes through the point (0, 0). Find the value of f(5).
+
New questions in Mathematics
Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.
2+2
90 divided by 40
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randomly selected, what is the probability that the sample mean would be less than 121 months? Round your answer to four decimal places
Convert 78 percent to a decimal
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.
TEST 123123+1236ttttt
cube root of 56
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
Below are three 95% CIs (where 𝜎 was known and 𝑥̅happened to be the same); one with sample size 30, one with samplesize 40, and one with sample size 50. Which is which?(66.2, 76.2)(61.2, 81.2)(56.2, 86.2)
Evaluate ab+dc if a=56 , b=−34 , c=0.4 , and d=12 . Write in simplest form.
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
2.3 X 0.8
6(k-7) -2=5
Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.

You might be interested in