Question

Larry, Dawn, Maria, Kim, Jim, Tyrone, and Eduardo have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. In how many ways can Larry arrive first and Eduardo ​last?

Answer 1

The number of ways for Larry to arrive first and Eduardo to arrive last is 720 ways.

How to find In how many ways can Larry arrive first and Eduardo ​last

Since there are 7 people who can arrive first, we can fix Larry as the first person. Now, there are 6 people remaining to arrive in any of the 6 remaining slots.

This means there are 6! = 720 ways for the remaining 6 people to arrive.

Therefore, the number of ways for Larry to arrive first and Eduardo to arrive last is 720 ways.