- #1

MSG100

- 43

- 0

The Problem:

There is n members inclusive CEO and 2 vice presidents. In how many ways can they be seated around a table so that both vice presidents sits next to the CEO?Attempt at a solution:

There's in total (n+2)! ways to be seated at the table.

It should be divided by a vice president to the left (if his place are fixed). That gives us (n+1) opportunities. The same on the left hand side.

The other vice president only have one side to choose when the CEO and vice president are sat, (n).

All in all:

(2(n+2)!)/((n+1)(n))

Is this the right way to think?