MathDB

A meeting was attended by

n

people. They are welcome to occupy the

k

table provided

\left( k \le \frac{n}{2} \right)

. Each table is occupied by at least two people. When the meeting begins, the moderator selects two people from each table as representatives for talk to. Suppose that

A

is the number of ways to choose representatives to speak. Determine the maximum value of

A

that is possible.

Problem Statement