How many different ways can you make 50 cents in change without using pennies?

How many different ways can you make 50 cents in change without using pennies?
You can use 5 dimes, 1 half dollar, 2 quarters, 10 nickels, 1 quarter 2 dimes and 1 nickle, 1 quarter 3 nickels and 2 dimes. There are seven ways to make 50 cents without using pennies.


I say there are 11or 12 ways to make change for a half dollar without using pennies.

N = Nickle, D = Dime, Q = Quarter, and H = Half Dollar

1. 10 N
2. 5 D
3. 2 Q
4. 1 H
5. 2N 4D
6. 4N 3D
7. 6N 2D
8. 8N 1D
9. 1Q 1N 2D
10. 1Q 3N 1D
11. 1Q 5N