A class of six students has to split into two indistinguishable teams of three people. Compute
the number of distinct team arrangements that can result.
Choose one:
A) 2 distinct teams.
B) 4 distinct teams.
C) 10 distinct teams.
D) 8 distinct teams.
E) 7 distinct teams.
Consider one specific person of the six students. There are   (5   2)   to choose the 2   partners on his team. Hence, there are   (5   2)   = 10 distinct teams.   correct answer 10 distinct teams.
<result>C</result>
A class of six students has to split into two indistinguishable teams of three people. Compute
the number of distinct team arrangements that can result.