Number of communication channels

In many test questions i see the following:

 

Question : 
You are in charge of a project that deals with laying out a lavish 18 hole golf course.The project work is in progress.You also have a number of contractors working on the project.Being an experienced manager you know that communication is key to success of the project.You have identified 10 stakeholders with whom you need to communicate.Due to some internal and external organizational changes at the client end three new stakeholders have been added with whom you need to communicate with.You also had to reduce one of the contractors with whom you were communicating.How many communication channels do you have now?
1.   45
2.   78
3.   91
4.   66
Correct Answer is : 4

Originally you had 10 stakeholders to communciate with - so number of communication channels were 10 * (10-1) /2 = 45.However the question states that 3 new stakeholders got added while 1 stakeholder got reduced.So total number of stakeholders = 10 + 3 -1 = 12 So the total number of communication channels are (12 * ( 12-1 )) /2 = 66 So the correct answer is option D

I thought that i have to count myself as well and the right answer has to be 2. 

Example: there is 1 stakeholder in the project. n=2(2-1)/2=1. Otherwise it is zero.

What should i expect from PMP exam?

Sorry, found it http://pmzilla.com/communication-channels

Just a mistake.

 

why we didn't include the PM in the calculations
it should be 78.Please advice

PM had identified 10 stakeholders to interact with and to calculate total no. of communication channels you need to add PM in the calculations.