Mike is going to sit at a round table with 5 of his friends. How many possible pairs of friends could Mike be sitting between?
There are 6 people in total and so there are 5! possible seating arrangements. How can I place Mike between pairs. How can I count it. Any hints about this would be greatly appreciated.
Is it 10? Since there are 5 slots for Mike to sit and we are talking about pairs, so 5 choose 2?