Answer to October 21, 2002 Problem

The Dollar Bill Problem

 

   
2 Half-Dollars
1 Half-Dollar   2 Quarters
4 Quarters
1 Half-Dollar   5 Dimes
2 Quarters   5 Dimes
10 Dimes
1 Half-Dollar   1 Quarter   2 Dimes   1 Nickel
3 Quarters   2 Dimes   1 Nickel
1 Quarter   7 Dimes   1 Nickel
1 Half-Dollar   4 Dimes   2 Nickels
2 Quarters   4 Dimes   2 Nickels
9 Dimes   2 Nickels
1 Half-Dollar   1 Quarter   1 Dime   3 Nickels
3 Quarters   1 Dime   3 Nickels
1 Quarter   6 Dimes   3 Nickels
1 Half-Dollar   3 Dimes   4 Nickels
2 Quarters   3 Dimes   4 Nickels
8 Dimes   4 Nickels
1 Half-Dollar   1 Quarter   5 Nickels
3 Quarters   5 Nickels
1 Quarter   5 Dimes   5 Nickels
1 Half-Dollar   2 Dimes   6 Nickels
2 Quarters   2 Dimes   6 Nickels
7 Dimes   6 Nickels
1 Quarter   4 Dimes   7 Nickels
1 Half-Dollar   1 Dime   8 Nickels
2 Quarters   1 Dime   8 Nickels
6 Dimes   8 Nickels
1 Quarter   3 Dimes   9 Nickels
1 Half-Dollar   10 Nickels
2 Quarters   10 Nickels
5 Dimes   10 Nickels
1 Quarter   2 Dimes   11 Nickels
4 Dimes   12 Nickels
1 Quarter   1 Dime   13 Nickels
3 Dimes   14 Nickels
1 Quarter   15 Nickels
2 Dimes   16 Nickels
1 Dime   18 Nickels
20 Nickels
1 Half-Dollar   1 Quarter   2 Dimes   5 Pennies
3 Quarters   2 Dimes   5 Pennies
1 Quarter   7 Dimes   5 Pennies
1 Half-Dollar   4 Dimes   1 Nickel   5 Pennies
2 Quarters   4 Dimes   1 Nickel   5 Pennies
9 Dimes   1 Nickel   5 Pennies
1 Half-Dollar   1 Quarter   1 Dime   2 Nickels   5 Pennies
3 Quarters   1 Dime   2 Nickels   5 Pennies
1 Quarter   6 Dimes   2 Nickels   5 Pennies
1 Half-Dollar   3 Dimes   3 Nickels   5 Pennies
2 Quarters   3 Dimes   3 Nickels   5 Pennies
8 Dimes   3 Nickels   5 Pennies
1 Half-Dollar   1 Quarter   4 Nickels   5 Pennies
3 Quarters   4 Nickels   5 Pennies
1 Quarter   5 Dimes   4 Nickels   5 Pennies
1 Half-Dollar   2 Dimes   5 Nickels   5 Pennies
2 Quarters   2 Dimes   5 Nickels   5 Pennies
7 Dimes   5 Nickels   5 Pennies
1 Quarter   4 Dimes   6 Nickels   5 Pennies
1 Half-Dollar   1 Dime   7 Nickels   5 Pennies
2 Quarters   1 Dime   7 Nickels   5 Pennies
6 Dimes   7 Nickels   5 Pennies
1 Quarter   3 Dimes   8 Nickels   5 Pennies
1 Half-Dollar   9 Nickels   5 Pennies
2 Quarters   9 Nickels   5 Pennies
5 Dimes   9 Nickels   5 Pennies
1 Quarter   2 Dimes   10 Nickels   5 Pennies
4 Dimes   11 Nickels   5 Pennies
1 Quarter   1 Dime   12 Nickels   5 Pennies
3 Dimes   13 Nickels   5 Pennies
1 Quarter   14 Nickels   5 Pennies
2 Dimes   15 Nickels   5 Pennies
1 Dime   17 Nickels   5 Pennies
19 Nickels   5 Pennies
1 Half-Dollar   4 Dimes   10 Pennies
2 Quarters   4 Dimes   10 Pennies
9 Dimes   10 Pennies
1 Half-Dollar   1 Quarter   1 Dime   1 Nickel   10 Pennies
3 Quarters   1 Dime   1 Nickel   10 Pennies
1 Quarter   6 Dimes   1 Nickel   10 Pennies
1 Half-Dollar   3 Dimes   2 Nickels   10 Pennies
2 Quarters   3 Dimes   2 Nickels   10 Pennies
8 Dimes   2 Nickels   10 Pennies
1 Half-Dollar   1 Quarter   3 Nickels   10 Pennies
3 Quarters   3 Nickels   10 Pennies
1 Quarter   5 Dimes   3 Nickels   10 Pennies
1 Half-Dollar   2 Dimes   4 Nickels   10 Pennies
2 Quarters   2 Dimes   4 Nickels   10 Pennies
7 Dimes   4 Nickels   10 Pennies
1 Quarter   4 Dimes   5 Nickels   10 Pennies
1 Half-Dollar   1 Dime   6 Nickels   10 Pennies
2 Quarters   1 Dime   6 Nickels   10 Pennies
6 Dimes   6 Nickels   10 Pennies
1 Quarter   3 Dimes   7 Nickels   10 Pennies
1 Half-Dollar   8 Nickels   10 Pennies
2 Quarters   8 Nickels   10 Pennies
5 Dimes   8 Nickels   10 Pennies
1 Quarter   2 Dimes   9 Nickels   10 Pennies
4 Dimes   10 Nickels   10 Pennies
1 Quarter   1 Dime   11 Nickels   10 Pennies
3 Dimes   12 Nickels   10 Pennies
1 Quarter   13 Nickels   10 Pennies
2 Dimes   14 Nickels   10 Pennies
1 Dime   16 Nickels   10 Pennies
18 Nickels   10 Pennies
1 Half-Dollar   1 Quarter   1 Dime   15 Pennies
3 Quarters   1 Dime   15 Pennies
1 Quarter   6 Dimes   15 Pennies
1 Half-Dollar   3 Dimes   1 Nickel   15 Pennies
2 Quarters   3 Dimes   1 Nickel   15 Pennies
8 Dimes   1 Nickel   15 Pennies
1 Half-Dollar   1 Quarter   2 Nickels   15 Pennies
3 Quarters   2 Nickels   15 Pennies
1 Quarter   5 Dimes   2 Nickels   15 Pennies
1 Half-Dollar   2 Dimes   3 Nickels   15 Pennies
2 Quarters   2 Dimes   3 Nickels   15 Pennies
7 Dimes   3 Nickels   15 Pennies
1 Quarter   4 Dimes   4 Nickels   15 Pennies
1 Half-Dollar   1 Dime   5 Nickels   15 Pennies
2 Quarters   1 Dime   5 Nickels   15 Pennies
6 Dimes   5 Nickels   15 Pennies
1 Quarter   3 Dimes   6 Nickels   15 Pennies
1 Half-Dollar   7 Nickels   15 Pennies
2 Quarters   7 Nickels   15 Pennies
5 Dimes   7 Nickels   15 Pennies
1 Quarter   2 Dimes   8 Nickels   15 Pennies
4 Dimes   9 Nickels   15 Pennies
1 Quarter   1 Dime   10 Nickels   15 Pennies
3 Dimes   11 Nickels   15 Pennies
1 Quarter   12 Nickels   15 Pennies
2 Dimes   13 Nickels   15 Pennies
1 Dime   15 Nickels   15 Pennies
17 Nickels   15 Pennies
1 Half-Dollar   3 Dimes   20 Pennies
2 Quarters   3 Dimes   20 Pennies
8 Dimes   20 Pennies
1 Half-Dollar   1 Quarter   1 Nickel   20 Pennies
3 Quarters   1 Nickel   20 Pennies
1 Quarter   5 Dimes   1 Nickel   20 Pennies
1 Half-Dollar   2 Dimes   2 Nickels   20 Pennies
2 Quarters   2 Dimes   2 Nickels   20 Pennies
7 Dimes   2 Nickels   20 Pennies
1 Quarter   4 Dimes   3 Nickels   20 Pennies
1 Half-Dollar   1 Dime   4 Nickels   20 Pennies
2 Quarters   1 Dime   4 Nickels   20 Pennies
6 Dimes   4 Nickels   20 Pennies
1 Quarter   3 Dimes   5 Nickels   20 Pennies
1 Half-Dollar   6 Nickels   20 Pennies
2 Quarters   6 Nickels   20 Pennies
5 Dimes   6 Nickels   20 Pennies
1 Quarter   2 Dimes   7 Nickels   20 Pennies
4 Dimes   8 Nickels   20 Pennies
1 Quarter   1 Dime   9 Nickels   20 Pennies
3 Dimes   10 Nickels   20 Pennies
1 Quarter   11 Nickels   20 Pennies
2 Dimes   12 Nickels   20 Pennies
1 Dime   14 Nickels   20 Pennies
16 Nickels   20 Pennies
1 Half-Dollar   1 Quarter   25 Pennies
3 Quarters   25 Pennies
1 Quarter   5 Dimes   25 Pennies
1 Half-Dollar   2 Dimes   1 Nickel   25 Pennies
2 Quarters   2 Dimes   1 Nickel   25 Pennies
7 Dimes   1 Nickel   25 Pennies
1 Quarter   4 Dimes   2 Nickels   25 Pennies
1 Half-Dollar   1 Dime   3 Nickels   25 Pennies
2 Quarters   1 Dime   3 Nickels   25 Pennies
6 Dimes   3 Nickels   25 Pennies
1 Quarter   3 Dimes   4 Nickels   25 Pennies
1 Half-Dollar   5 Nickels   25 Pennies
2 Quarters   5 Nickels   25 Pennies
5 Dimes   5 Nickels   25 Pennies
1 Quarter   2 Dimes   6 Nickels   25 Pennies
4 Dimes   7 Nickels   25 Pennies
1 Quarter   1 Dime   8 Nickels   25 Pennies
3 Dimes   9 Nickels   25 Pennies
1 Quarter   10 Nickels   25 Pennies
2 Dimes   11 Nickels   25 Pennies
1 Dime   13 Nickels   25 Pennies
15 Nickels   25 Pennies
1 Half-Dollar   2 Dimes   30 Pennies
2 Quarters   2 Dimes   30 Pennies
7 Dimes   30 Pennies
1 Quarter   4 Dimes   1 Nickel   30 Pennies
1 Half-Dollar   1 Dime   2 Nickels   30 Pennies
2 Quarters   1 Dime   2 Nickels   30 Pennies
6 Dimes   2 Nickels   30 Pennies
1 Quarter   3 Dimes   3 Nickels   30 Pennies
1 Half-Dollar   4 Nickels   30 Pennies
2 Quarters   4 Nickels   30 Pennies
5 Dimes   4 Nickels   30 Pennies
1 Quarter   2 Dimes   5 Nickels   30 Pennies
4 Dimes   6 Nickels   30 Pennies
1 Quarter   1 Dime   7 Nickels   30 Pennies
3 Dimes   8 Nickels   30 Pennies
1 Quarter   9 Nickels   30 Pennies
2 Dimes   10 Nickels   30 Pennies
1 Dime   12 Nickels   30 Pennies
14 Nickels   30 Pennies
1 Quarter   4 Dimes   35 Pennies
1 Half-Dollar   1 Dime   1 Nickel   35 Pennies
2 Quarters   1 Dime   1 Nickel   35 Pennies
6 Dimes   1 Nickel   35 Pennies
1 Quarter   3 Dimes   2 Nickels   35 Pennies
1 Half-Dollar   3 Nickels   35 Pennies
2 Quarters   3 Nickels   35 Pennies
5 Dimes   3 Nickels   35 Pennies
1 Quarter   2 Dimes   4 Nickels   35 Pennies
4 Dimes   5 Nickels   35 Pennies
1 Quarter   1 Dime   6 Nickels   35 Pennies
3 Dimes   7 Nickels   35 Pennies
1 Quarter   8 Nickels   35 Pennies
2 Dimes   9 Nickels   35 Pennies
1 Dime   11 Nickels   35 Pennies
13 Nickels   35 Pennies
1 Half-Dollar   1 Dime   40 Pennies
2 Quarters   1 Dime   40 Pennies
6 Dimes   40 Pennies
1 Quarter   3 Dimes   1 Nickel   40 Pennies
1 Half-Dollar   2 Nickels   40 Pennies
2 Quarters   2 Nickels   40 Pennies
5 Dimes   2 Nickels   40 Pennies
1 Quarter   2 Dimes   3 Nickels   40 Pennies
4 Dimes   4 Nickels   40 Pennies
1 Quarter   1 Dime   5 Nickels   40 Pennies
3 Dimes   6 Nickels   40 Pennies
1 Quarter   7 Nickels   40 Pennies
2 Dimes   8 Nickels   40 Pennies
1 Dime   10 Nickels   40 Pennies
12 Nickels   40 Pennies
1 Quarter   3 Dimes   45 Pennies
1 Half-Dollar   1 Nickel   45 Pennies
2 Quarters   1 Nickel   45 Pennies
5 Dimes   1 Nickel   45 Pennies
1 Quarter   2 Dimes   2 Nickels   45 Pennies
4 Dimes   3 Nickels   45 Pennies
1 Quarter   1 Dime   4 Nickels   45 Pennies
3 Dimes   5 Nickels   45 Pennies
1 Quarter   6 Nickels   45 Pennies
2 Dimes   7 Nickels   45 Pennies
1 Dime   9 Nickels   45 Pennies
11 Nickels   45 Pennies
1 Half-Dollar   50 Pennies
2 Quarters   50 Pennies
5 Dimes   50 Pennies
1 Quarter   2 Dimes   1 Nickel   50 Pennies
4 Dimes   2 Nickels   50 Pennies
1 Quarter   1 Dime   3 Nickels   50 Pennies
3 Dimes   4 Nickels   50 Pennies
1 Quarter   5 Nickels   50 Pennies
2 Dimes   6 Nickels   50 Pennies
1 Dime   8 Nickels   50 Pennies
10 Nickels   50 Pennies
1 Quarter   2 Dimes   55 Pennies
4 Dimes   1 Nickel   55 Pennies
1 Quarter   1 Dime   2 Nickels   55 Pennies
3 Dimes   3 Nickels   55 Pennies
1 Quarter   4 Nickels   55 Pennies
2 Dimes   5 Nickels   55 Pennies
1 Dime   7 Nickels   55 Pennies
9 Nickels   55 Pennies
4 Dimes   60 Pennies
1 Quarter   1 Dime   1 Nickel   60 Pennies
3 Dimes   2 Nickels   60 Pennies
1 Quarter   3 Nickels   60 Pennies
2 Dimes   4 Nickels   60 Pennies
1 Dime   6 Nickels   60 Pennies
8 Nickels   60 Pennies
1 Quarter   1 Dime   65 Pennies
3 Dimes   1 Nickel   65 Pennies
1 Quarter   2 Nickels   65 Pennies
2 Dimes   3 Nickels   65 Pennies
1 Dime   5 Nickels   65 Pennies
7 Nickels   65 Pennies
3 Dimes   70 Pennies
1 Quarter   1 Nickel   70 Pennies
2 Dimes   2 Nickels   70 Pennies
1 Dime   4 Nickels   70 Pennies
6 Nickels   70 Pennies
1 Quarter   75 Pennies
2 Dimes   1 Nickel   75 Pennies
1 Dime   3 Nickels   75 Pennies
5 Nickels   75 Pennies
2 Dimes   80 Pennies
1 Dime   2 Nickels   80 Pennies
4 Nickels   80 Pennies
1 Dime   1 Nickel   85 Pennies
3 Nickels   85 Pennies
1 Dime   90 Pennies
2 Nickels   90 Pennies
1 Nickel   95 Pennies
100 Pennies

292 different ways