How many ways can leo select 3 movies to rent from the top 10 rentals and arrange them into triple feature?

Question

1.) 720 ways

2.) 240 ways

3.) 90 ways

4.) 120 ways

Answer 1

Since he has 10 movies to pick from, he has 10 choices for his first movie, 9 for his second movie and 8 for his third movie.  This means that the number of ways he can select and arrange them is:

     10*9*8 = 720

This is also known as P(10,3)