Let:
P = pennies
N = nickels
D = dimes
Q = quarters
Then your possible combinations are
Giving you a grand total of 24 combinations.
22
I think there are 88 different combinations of coins that can make up 66 cents.
6 ways
3 dimes, 1 nickel, and 2 cents.
There are 43 combinations of various quantities of quarters (0, 1 or 2), dimes (0 to 5), nickels (0 to 10) and pennies (2 to 52) that make 52 cents.