What is the total combination of ways to give someone 55 cents using any US coins but no more than 7 pennies?

Answer 1

The US used to mint coins in 2 cent and three cent denominations. You should count those for extra credit.

Answer 2

1. 11 nickels
2. 10 nickels, 5 pennies
3. 9 nickels, 1 dime
4. 8 nickels, 1 dime, 5 pennies
5. 7 nickels, 2 dimes
6. 6 nickels, 2 dimes, 5 pennies
7. 6 nickels, 1 quarter
8. 5 nickels, 1 quarter, 5 pennies
9. 5 nickels, 3 dimes
10. 4 nickels, 1 quarter, 1 dime
11. 4 nickels, 3 dimes, 5 pennies
12. 3 nickels, 1 quarter, 1 dime, 5 pennies
13. 3 nickels, 4 dimes
14. 2 nickels, 1 quarter, 2 dimes
15. 2 nickels, 4 dimes, 5 pennies
16. 1 nickel, 2 quarters
17. 1 nickel, 1 quarter, 2 dimes, 5 pennies
18. 1 nickel, 1 half dollar
19. 1 nickel, 5 dimes
20. 5 dimes, 5 pennies
21. 2 quarters, 5 pennies
22. 1 half dollar, 5 pennies

If you can use old coins not still made, but still accepted:

23. 10 nickels, 3 pennies, 1 2-cent piece
24. 10 nickels, 1 penny, 2 2-cent pieces
25. 8 nickels, 1 dime, 3 pennies, 1 2-cent piece
26. 8 nickels, 1 dime, 1 penny, 2 2-cent pieces
27. 6 nickels, 2 dimes, 3 pennies, 1 2-cent piece
28. 6 nickels, 2 dimes, 1 penny, 2 2-cent pieces
29. 5 nickels, 1 quarter, 3 pennies, 1 2-cent piece
30. 5 nickels, 1 quarter, 1 penny, 2 2-cent pieces
31. 4 nickels, 3 dimes, 3 pennies, 1 2-cent piece
32. 4 nickels, 3 dimes, 1 penny, 2 2-cent pieces
33. 3 nickels, 1 quarter, 1 dime, 3 pennies, 1 2-cent piece
34. 3 nickels, 1 quarter, 1 dime, 1 penny, 2 2-cent pieces
35. 2 nickels, 4 dimes, 3 pennies, 1 2-cent piece
36. 2 nickels, 4 dimes, 1 penny, 2 2-cent pieces
37. 1 nickel, 1 quarter, 2 dimes, 3 pennies, 1 2-cent piece
38. 1 nickel, 1 quarter, 2 dimes, 1 penny, 2 2-cent pieces
39. 5 dimes, 3 pennies, 1 2-cent piece
40. 5 dimes, 1 penny, 2 2-cent pieces
41. 2 quarters, 3 pennies, 1 2-cent piece
42. 2 quarters, 1 penny, 2 2-cent pieces
43. 1 half dollar, 3 pennies, 1 2-cent piece
44. 1 half dollar, 1 penny, 2 2-cent pieces

Answer 3

1. 11 nickels
2. 10 nickels, 5 pennies
3. 1 1/2 dollar, 1 nickel
4. 1 1/2 dollar, 5 pennies.
5. 2 quarters, 1 nickel.
6. 2 quarters, 5 pennies
7. 1 quarter, 2 dimes, 3 nickels
8. 1 quarter, 2 dimes, 2 nickels, 5 pennies
9. 1 quarter, 3 dimes
10. 1 quarter, 6 nickels
11. 1 quarter, 5 nickels, 5 pennies
12. 1 quarter, 4 nickels, 1 dime
13. 5 dimes, 1 nickel
14. 5 dimes, 5 pennies
15. 4 dimes, 3 nickels
16. 4 dimes, 2 nickels, 5 pennies
17. 3 dimes, 5 nickels
18. 3 dimes, 5 nickels, 5 pennies
19. 2 dimes, 7 nickels
20. 2 dimes, 6 nickels, 5 pennies
21. 1 dime, 9 nickels
22. 1 dime, 8 nickels, 5 pennies

Answer 4

1 half dollar, 1 nickel
1 half dollar, 5 pennies
2 Quarters and 1 nickel
2 quarters, 5 pennies
1 Quarter, 3 Dimes
1 quarter, 2 dimes, 2 nickels
1 quarter, 2 dimes, 1 nickel, 5 pennies
1 quarter, 1 dime, 4 nickels
1 quarter, 1 dime, 3 nickels, 5 pennies
1 quarter, 6 nickels
1 quarter, 5 nickels, 5 pennies

That's just the start to show you how you can find the answer. You can finish the rest by starting with the largest value coin, doing all the scenarios, and working your way down.

Answer 5

lemme improvise:

half dollar + (nickle or 5 pennies) [2]
quarter + quarter + (nickle or 5 pennies) [2]
+ dime + dime + dime [1]
+ nickle + (nickle or 5 pennies) [2]
+ 3nickles + (nickle or 5 pennies) [2]
+ 5nickles + (...) [2]
5dimes + (...) [2]
4 dimes + 2 nickles + (...) [2]
3 dimes + 4... [2]
2 dimes + 6... [2]
1 dimes + 8.. [2]
0 dimes + 10... [2]

I think I get 23. Can't think of a quicker way to do it at the moment.

Answer 6

2 quarters and one nickel or 5 dimes and one nickel or 5 pennies and 5 dimes or 10 nickels and 5 pennies.or 4dimes 2 nickels and 5 pennies and on and on and on!!!!!!!!!!!!

Answer 7

You can do this with an answer tree as easy as I can. Do your own homework. Start with a half dollar and five pennies.