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

**3P _{2} + 3P_{0} i.e. AB, AC, BC, ABC**

Generalizing -

**nPm + nP _{0 }**

WHERE

n = Target size of the Network

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

Is this correct ? .