Yes, according to “Six degrees of separation”, it would only take up to 6 people to let the President of the USA know about your holiday plans.
Six degrees of separation is a theory that anyone on the planet can be connected to any person by a maximum of 6 steps (6 people). Theory that I was planning to prove via Twitter. Unfortunately the Twitter API has rate limits that would make it rather hard to search through connections.
I find myself saying these days more often that the world is a small place. It didn’t shrink, communication and transport made it smaller.
Here’s a bunch of links that explain more about the theory: