for all 
.
.
the point 
is located on the side ![$[AB]$](http://latex.artofproblemsolving.com/a/d/a/ada6f54288b7a2cdd299eba0055f8c8d19916b4b.png)
,
is the foot of the perpendicular from 
on the line 
.
belongs to the line 
.
and 
are symmetric of the points 
with respect to the lines 
,
is square and the quadrilateral 
is rhombus.
Y by tofubear
A group of 5 students will form a travel group of 3 students. Each student is asked to select two other students they would like to travel with. Given that the probability of forming a 3-person group where each member has selected the other two is a/b , where a and b are coprime positive integers, what is the value of a/b ?
