Question

Herm and his 12 followers have created a not-so-secret ``handshake'' that involves three people. The first person (the hook) initiates the greeting by casting an invisible fishing line, and the second person (the bait) walks toward the first person as if the ``bait'' is being reeled via the invisible fishing line. When the bait is about to meet the hook, they both go up with hand as if to perform a ``high five.'' At that point, however, a third person (the bandit) steps in to ``steal'' the ``high five'' from the hook.

Within Herm's group, how many different handshakes are possible?

Answer 1

The number of people in this problem is 13, herm and his 12 followers. The secret handshake involve three different roles, so the order of member is important. Every member only able to do 1 roles for every handshake. The number of possible ways for the handshake would be:

13!/(13-3)!= 13*12*11= 1716 ways