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?

As a television executive, you have been given 9 shows to choose from to run during your prime time slots each week. If you have to choose 6 shows to run on your network, how many ways can you choose which shows to pick up?

As a television executive, you have been given 9 shows to choose from to run during your prime time slots each week. If you have 7 time slots, how many ways can you create the schedule for the week?

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?

A group of 6 friends goes to the movies, but when they get into the theater there are only 3 seats left in the front row. In how many ways can the friends fill the seats in the front row?

Six friends go to a movie theater. In how many different ways can they sit together in a row of 6 empty seats?There are  ways can they sit together in a row of 6 empty seats.