A small college with 1
,
200
1,2001, comma, 200 total students has a student government of
40
4040 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than
1
11 of these
4
44 positions.
The permutation formula
n
P
r
nPrn, start text, P, end text, r can be used to find the number of unique ways the student government can arrange its members into these positions.
What are the appropriate values of
n
nn and
r
rr?