A tv station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction movies and 2 horror movies. The horror movies will be aired later in the evening. So, both of the horror movies will be aired last (after all of the science fiction movies). In how many ways can the station air the movie marathon?
A tv station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction movies and 2 horror movies. The horror movies will be aired later in the evening. So, both of the horror movies will be aired last (after all of the science fiction movies). In how many ways can the station air the movie marathon?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A tv station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction movies and 2 horror movies. The horror movies will be aired later in the evening. So, both of the horror movies will be aired last (after all of the science fiction movies). In how many ways can the station air the movie marathon?
![**Question:**
A TV station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction movies and 2 horror movies. The horror movies will be aired later in the evening. So, both of the horror movies will be aired last (after all of the science fiction movies). In how many ways can the station air the movie marathon?
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This problem involves arranging the seven movies, where the constraint is that all 5 science fiction movies are shown first, followed by the 2 horror movies. The challenge is to determine the number of possible sequences under these conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe275248a-cf4e-467d-a30e-f2de7097d675%2F4027f0f2-c458-4f8a-a850-a2273816a1b9%2Fl7lydf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
A TV station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction movies and 2 horror movies. The horror movies will be aired later in the evening. So, both of the horror movies will be aired last (after all of the science fiction movies). In how many ways can the station air the movie marathon?
**Response Box:**
[ ]
**Options:**
- X (Reset)
- ⟲ (Retry)
- ? (Help)
A button labeled "Check" is available to submit and verify the answer.
The interface includes options to "Save For Later" and "Submit Assignment," located near the bottom of the screen.
**Note:**
The text "Incorrect. Your answer is incorrect." indicates the response submitted was not correct.
This problem involves arranging the seven movies, where the constraint is that all 5 science fiction movies are shown first, followed by the 2 horror movies. The challenge is to determine the number of possible sequences under these conditions.
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