How many ways can you have $1.05 with only dimes, nickles and quarters?

wayyy too many

just nickels:

21 nickels (1)

now just nickels and dimes:

19 nickels, one dime (2)

17 nickels, two dimes (3)

15 nickels, three dimes (4)

13 nickels, four dimes (5)

11 nickels, five dimes (6)

9 nickels, six dimes (7)

7 nickels, seven dimes (8)

5 nickels, eight dimes (9)

3 nickels, nine dimes (10)

1 nickel, ten dimes (11)

now just nickels and quarters

16 nickels, one quarter (12)

11 nickels, two quarters (13)

6 nickels, three quarters (14)

1 nickel, four quarters (15)

now with one quarter, + nickels and dimes :

14 nickels, one dime, one quarter (16)

12 nickels, two dimes, one quarter (17)

10 nickels, three dimes, one quarter (18)

8 nickels, four dimes, one quarter (19)

6 nickels, five dimes, one quarter (20)

4 nickels, six dimes, one quarter (21)

2 nickels, seven dimes, one quarter (22)

with two quarters, nickels and dimes:

two quarters, 5 dimes, 1 nickel (23)

two quarters, 4 dimes, 3 nickels (24)

two quarters, 3 dimes, 5 nickels (25)

two quarters, 2 dimes, 7 nickels (26)

two quarters, 1 dime, 9 nickels (27)

with three quarters, nickels and dimes

three quarters, 3 dimes (28)

three quarters, 2 dimes, 2 nickels (29)

three quarters, 1 dime, 4 nickels (30)

This is more that a 6th grade problem. Yeah, it's not hard, but it takes a long time

With four quarters:

1. 4Q1N

With three quarters:

2. 3Q3D

3. 3Q2D2N

4. 3Q1D3N

5. 3Q4N

With two quarters:

6. 2Q5D1N

7. 2Q4D3N

8. 2Q3D5N

9. 2Q2D7N

10. 2Q1D9N

11. 2Q11N

With one quarter:

12. 1Q7D

13. 1Q6D2N

14.1Q5D4N

15. 1Q4D6N

16. 1Q3D8N

17. 1Q2D10N

18 1Q1D12N

19. 1Q14N

With no quarters:

20. 10D1N

21. 9D3N

22. 8D5N

23. 7D7N

24. 6D9N

25. 5D11N

26. 4D13N

27. 3D15N

28. 2D17N

29. 1D19N

30. 21N

30 ways