Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

Question: Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

Solution:
This is a combination problem because the order in which the people rent the movies does not matter.
We need to choose 2 people out of 5.
The formula for combination is: ⁿC_r = n!/{r!(n - r)!}
Here, n = 5 and r = 2.

∴ ⁵C₂ = 5!/{2!(5 - 2)!}
= (5 × 4 × 3!)/(2 × 1 × 3!)
= (5 × 4)/2
= 20/2
= 10

So, there are 10 ways the five people can rent the two movies.