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Over the next week you want to watch a movie a day. In how many ways can this be done if you have 8 movies?

A.

56

B.

6,720

C.

40,320

D.

2,097,152

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Respuesta :

Cxlver

Answer:

40,320

Step-by-step explanation:

First you have 8 movies to watch.

A day passes you have 7 left, then another day passes you have 6 left...

You do this until you have 1 movie left because by then you'd have watched 7 movies in 7 days of a week.

Take the product: 8 * 7 * 6 * 5...*2*1 = 8! = 40,320

JeanaShupp

Answer: C. 40,320

Step-by-step explanation:

Given : The total number of movies = 8

Also, in one week if you watch one movie a day , then the number of possible movies you can watch in next week must be 7.

Now, the number of ways to watch 8 movies taking 7 movies from is given by permutations :-

[tex]^8P_7=\dfrac{8!}{(8-7)!}\\\\=\dfrac{8!}{1!}=8\times7\times6\times5\times4\times3\times2\times1\\\\=40,320[/tex]

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