Question 471737
There are only 5 possibilities to distribute 16 $1 bills to 4 people:

5,4,4,3
4,4,4,4
5,5,3,3
7,3,3,3
6,3,4,3

The 1st can be done in {{{(4!)/(2!1!1!) = 12}}} ways,
The 2nd can be done in only 1 way,

The 3rd can be done in {{{(4!)/(2!2!) = 6}}} ways,
The 4th can be done in {{{(4!)/(3!1!) = 4}}} ways,
The 5th can be done in {{{(4!)/(2!1!1!) = 12}}} ways,
for a total of 12 + 1 + 6 + 4 + 12 = 35 ways.