Question

1. kimora is planning a movie night event in which she will show three movies consecutively. she must choose which 3 movies (from 8 movies) as well as the order (first, second, third) of the movies to include on an advertising flyer about the event. how many different possible advertising flyers are there?

Explanation:

Step1: Identify the problem type

This is a permutation problem since the order of the movies (first, second, third) matters. The formula for permutations is \( P(n, r)=\frac{n!}{(n - r)!} \), where \( n = 8 \) (total number of movies) and \( r=3 \) (number of movies to choose and order).

Step2: Apply the permutation formula

Substitute \( n = 8 \) and \( r = 3 \) into the formula:

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Step3: Calculate the result

Calculate \( 8\times7\times6 = 336 \).

Answer:

336