Equation Of A Social Network Connections

[petrushkagoogol]

If I (A) invite 2 friends (B and C) in any social network to be connections the number of valid connections is :

 

3P₂ + 3P₀ i.e. AB, AC, BC, ABC

 

Generalizing -

 

nPm + nP₀

 

WHERE

 

n = Target size of the Network

m = 2 (Restricting interaction of A with one friend at a time)

 

Is this correct ? .

 

 

 

 

[Vmedvil2]

What does P and P₀ stand for?

[petrushkagoogol]

What does P and P₀ stand for?

 

ⁿPr  ₌   Permutation of n things taken r at a time