Answer the questions on the basis of the information given below.At a cinema, four movies are being screened - Pilgrim, Quota, Ratatouille, and Scream - not necessarily in this order, during four time slots - 9 AM to 11 AM, 11 AM to 1 PM, 1 PM to 3 PM, and 3 PM to 5 PM. A group of 8 people - A, B, C, D, E, F, G, and H - went to watch these movies. Each movie is screened exactly once and watched by at least one person. Each person watches one movie, and none of the movies was watched by more than three people.These eight people reach the cinema hall just before the time slot of the movie they intend to watch. If more than one person is going to watch the same movie, they reach the cinema hall in the alphabetical order of their names. For example, if both A and C are going to watch the same movie, then A will reach first, followed by C.It is further known that:(i) A and E do not watch the movies screened at 1 PM to 3 PM and 11 AM to 1 PM respectively.(ii) A did not watch Pilgrim whereas G did not watch Quota.(iii) Scream was watched by three people but not by H whereas E watched Ratatouille.(iv) A was the third person to reach the cinema hall, and E arrived in the cinema hall after A.(v) B and D were the sixth and last to reach the cinema hall respectively.Question No 38.For how many people can we definitely know the slots they watched movies in?

Collegues and Movie    N colleague are planning to go to a movie. One among them suggested few movies and all others started to discuss and finally they selected a movie. One among them quickly booked their tickets online, to their surprise they are unable to select their seats. All of them got confused. Then any how, decided to go to the movie. They rushed to reach the theater on time. Again they are surprised that no one was there in the theater. They are the only people about to watch the movie. There is 'r' number of seats in which, 'n' number persons should sit. In how many ways they can sit inside the theater?    Given the number of people 'n' and the number of seats 'r' as  input. The task is to find the different number of ways in which 'n' number of people can be seated in those 'r' number of seats.Constraints:NAExample:Sample Input:5 3Sample Output:60Explanation: 60 is the total number of ways in which ‘n’ people can be seated  in ‘r’ seats.P(n,r) =P(5,3) = 5! /(5-3)!  =  5! / ( 5 - 3 )! = 120 / 2 = 60

A TV station is going to air a movie marathon with 8 movies. It will consist of 2 science fiction movies and 6 horror movies. The horror movies will be aired later in the evening. So, all of the horror movies will be aired last (after both of the science fiction movies). In how many ways can the station air the movie marathon?

7 people (A, B, C, D, E, F and G) go to a movie and sit next to each other in 7 adjacent seats in the front row of the theater.How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.

A “movie theater” has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is

The table summarizes the movie-watching preferences and ages of a group of 500 people in one community.Movie Theater Streaming Service DVDUnder age 18 0.13 0.16 0.01Age 18–40 0.17 0.17 0.06Over Age 40 0.13 0.03 0.14Part A: Determine P(streaming | under age 18) and describe the event in everyday language. Show all work. (2 points)Part B: Are the events prefers streaming service and being under age 18 approximately independent? Use probabilities to justify the answer. (2 points)