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Thursday, March 30, 2006

Degrees of Separation - that does work

Continuing from the last blog...

Let's say I know 10 people and each of those ten people know 10 unique people and if n is the degrees of separation then

1 + 10 + 10^2 + 10^3 ... + 10^n = (10^(n+1) - 1) / (10 - 1) = 6 Billion People

Which approximates to 10^(n+1) = 54 Billion People

Now 10^10 = 10 Billion People & 10 ^11 = 100 Billion People...

Therefore n+1 is between 10 & 11 which means n is between 9 & 10...

According to definition n is the degrees of separation which should be between 9 & 10... Since with 9 there might be chances that we do not cover all the people therefore degrees of separation has to be 10

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