Divide 6 people into sets of 2 to work on 3 activities. So that they participate with everyone and in equal number of activities

Question

How can I divide 6 people into sets of 2 individuals into 3 simultaneous activities so that over a period everyone has worked with everyone and participated equally in all activities?

Answer 1

15

 

A,B,C,D,E,F

 

Ab   bc   cd  de  ef

ac   bd   ce  df

ad  be   cf

ae  bf

af

 

 

(6 choose 2) = 6*5/2 = 15