Question 255053
Lonnie has a large supply of quarters , dimes, nickels, and pennies. In how many ways could she make change for 50 cents? 

2Q
1Q 2D 1N
1Q 2D     5P
1Q 1D 3N
1Q 1D 2N  5P
1Q 1D 1N 10P
1Q    5N
1Q    4N  5P
1Q    3N 10P
1Q    2N 15P
1Q    1N 20P
1Q       25P
   5D
   4D 2N
   4D 1N  5P
   4D    10P
   3D 4N
   3D 3N  5P
   3D 2N 10P
   3D 1N 15P
   3D    20P
   2D 6N
   2D 5N  5P
   2D 4N 10P
   2D 3N 15P
   2D 2N 20P
   2D 1N 25P
   2D    30P
   1D 8N
   1D 7N  5P
   1D 6N 10P
   1D 5N 15P
   1D 4N 20P
   1D 3N 25P
   1D 2N 30P
   1D 1N 35P
   1D    40P
     10N
      9N  5P
      8N 10P
      7N 15P
      6N 20P
      5N 25P
      4N 30P
      3N 35P
      2N 40P
      1N 45P
         50P

48 ways