If I have 10 people and I want to create
pairings, so that every person is matched
with every other person at least once, how
many unique pairings will there be in total?
there are 32 students in a class. for
each competition in a sport event
in the school each class can send
a team with three students. if no
two students may be in the same
team for more than one time, in
how many different competitions
can this class participate?