Answer:
720 possible ways
Step-by-step explanation:
To list the three best movies out of 10 you've seen this year and considering their order of preference, you would use a combination. The formula for choosing kk items out of nn items, where order matters, is given by:nPk=n!(n−k)!nPk=(n−k)!n!Where nn is the total number of movies you've seen this year and kk is the number of movies you want to select as your top three.In this case:n=10n=10 (total number of movies seen)
k=3k=3 (selecting the top three)Plugging the values into the formula:10P3=10!(10−3)!10P3=(10−3)!10!10P3=10!7!10P3=7!10!10P3=10×9×8×7!7!10P3=7!10×9×8×7!10P3=10×9×810P3=10×9×810P3=72010P3=720
