Suppose nCp represents n!(n-p)!/p!

The product of the following should be the answer,

nC2 x (n-1)C2 x (n-2) x ... x 2C2

The above assumes that merger of company K1 with K2, gives rise to a new 
company K12, and merger of K12 with K3, and K13 with K2 is different.

How does it sound?

 

________________________________
From: ankur aggarwal <ankur.mast....@gmail.com>
To: algogeeks@googlegroups.com; "i...@mca_2007" 
<iit_rmca_2...@googlegroups.com>; lets-talk-g...@googlegroups.com
Sent: Tuesday, 25 August, 2009 12:28:48 AM,
Subject: [algogeeks] Merging companies

Merging companies
Suppose we have N companies, and we want to eventually merge them into
one big company. How many ways are there to merge?


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