How many different combinations of coins can be used to make 1.00 with less than 15 coins?

Answer 1

1. 4 quarters

2. 3 quarters, 2 dimes, 1 nickel

3. 3 quarters, 2 dimes, 5 pennies

4. 3 quarters, 1 dime, 3 nickels

5. 3 quarters, 1 dime, 2 nickels, 5 pennies

6. 3 quarters, 5 nickels

7. 3 quarters, 4 nickels, 5 pennies

8. 2 quarters, 5 dimes

9. 2 quarters, 4 dimes, 2 nickels

10. 2 quarters, 4 dimes, 1 nickel, 5 pennies

11. 2 quarters, 3 dimes, 4 nickels

12. 2 quarters, 3 dimes, 3 nickels, 5 pennies

13. 2 quarters, 2 dimes, 6 nickels

14. 2 quarters, 2 dimes, 5 nickels, 5 pennies

15. 2 quarters, 1 dime, 8 nickels

16. 2 quarters, 10 nickels

17. 1 quarter, 7 dimes, 1 nickel

18. 1 quarter, 7 dimes, 5 pennies

19. 1 quarter, 6 dimes, 3 nickels

20. 1 quarter, 6 dimes, 2 nickels, 5 pennies

21. 1 quarter, 5 dimes, 5 nickels

22. 1 quarter, 4 dimes, 7 nickels

23. 1 quarter, 3 dimes, 9 nickels

24. 1 quarter, 2 dimes, 11 nickels

25. 10 dimes

26. 9 dimes, 2 nickels

27. 9 dimes, 1 nickel, 5 pennies

28. 8 dimes, 4 nickels

29. 7 dimes, 6 nickels

30. 6 dimes, 8 nickels

1. 31. 1 half dollar, 5 dimes

32. 1 half dollar, 4 dimes, 2 nickels

33. 1 half dollar, 4 dimes, 1 nickel, 5 pennies

34. 1 half dollar, 3 dimes, 4 nickels

35. 1 half dollar, 3 dimes, 3 nickels, 5 pennies

36. 1 half dollar, 2 dimes, 6 nickels

37. 1 half dollar, 2 dimes, 5 nickels, 5 pennies

38. 1 half dollar, 1 dime, 8 nickels

39. 1 half dollar, 10 nickels

40. 1 half dollar, 4 dimes, 10 pennies

41. 1 half dollar, 1 quarter, 2 dimes, 1 nickel

42. 1 half dollar, 1 quarter, 2 dimes, 5 pennies

43. 1 half dollar, 1 quarter, 1 dime, 3 nickels

44. 1 half dollar, 1 quarter, 1 dime, 2 nickels, 5 pennies

45. 1 half dollar, 1 quarter, 5 nickels

46. 1 half dollar, 1 quarter, 4 nickels, 5 pennies

47. 1 half dollar, 2 quarters

48. 2 half dollars

Pretty sure that covers it, so there are 30 ways to make a dollar with less than 15 coins.

At least 48 combinations if one does not omit a fifty cent piece!