Question

Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies? A. 10 B. 9 C. 8 D. 7 E. 6

Answer 1

A. 10 , I think

5!/2!(5-2)!

Answer 2

Answer: A. 10

Explanation:

The number of combination of n things taken r at a time is given by :-

`^nC_r=(n!)/(r!(n-r)!)`

Given : Five people want to rent the last two copies of a movie.

Then, the number of ways these 5 people rent the 2 movies is given by:-
`^5C_2=(5!)/(2!(5-2)!)\\\\=(5*4*3!)/(2*3!)=10`

Hence, these five people can rent the two movies in 10 ways.