Image source: http://www.imfar.org/images/committee.jpg
The number of ways to appoint positions to a group of people on a committe
is n!. For example, if 4 people are on a committee, then there are 4x3x2x1=24
ways to assign responsibilities.
If 5 people are on a basketball team, then there are 5!, or 120, arrangements
of players on the floor at any given time.