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what possible ways can change make 1 dollar?

Wiki User

2013-04-29 23:30:51

well it depends on how you want it. If you want it as, like having 4 quarters and counting one way for four quarters then counting another as having the same 4 quarters but in different order (if you understood any of that) there is 293 possibilities. but if you want it the other way, We can use either 0, 1, 2, 3, or 4 quarters.

If we use 0 quarters, we can use from 0 up to 10 dimes, and the rest, if any, in nickels.

That accounts for 11 ways. If we use 1 quarter, we can use from 0 up to 7 dimes, and the rest in nickels. That accounts for 8 ways. If we use 2 quarters, we can use from 0 up to 5 dimes, and the rest, if any, in nickels. That accounts for 6 ways. If we use 3 quarters, we can use from 0 up to 2 dimes, and the rest in nickels. That accounts for 3 ways. If we use 4 quarters, that's the whole dollar, so that accounts for 1 way. So the total number of ways = 11+8+6+3+1 = 29 You weren't asked to list them, but here is the list of all 29 ways:

1. 0 quarters, 0 dimes, and 20 nickels.

2. 0 quarters, 1 dime, and 18 nickels.

3. 0 quarters, 2 dimes, and 16 nickels.

4. 0 quarters, 3 dimes, and 14 nickels.

5. 0 quarters, 4 dimes, and 12 nickels.

6. 0 quarters, 5 dimes, and 10 nickels.

7. 0 quarters, 6 dimes, and 8 nickels.

8. 0 quarters, 7 dimes, and 6 nickels.

9. 0 quarters, 8 dimes, and 4 nickels.

10. 0 quarters, 9 dimes, and 2 nickels.

11. 0 quarters, 10 dimes, and 0 nickels.

12. 1 quarter, 0 dimes, and 15 nickels.

13. 1 quarter, 1 dime, and 13 nickels.

14. 1 quarter, 2 dimes, and 11 nickels.

15. 1 quarter, 3 dimes, and 9 nickels.

16. 1 quarter, 4 dimes, and 7 nickels.

17. 1 quarter, 5 dimes, and 5 nickels.

18. 1 quarter, 6 dimes, and 3 nickels.

19. 1 quarter, 7 dimes, and 1 nickel.

20. 2 quarters, 0 dimes, and 10 nickels.

21. 2 quarters, 1 dime, and 8 nickels.

22. 2 quarters, 2 dimes, and 6 nickels.

23. 2 quarters, 3 dimes, and 4 nickels.

24. 2 quarters, 4 dimes, and 2 nickels.

25. 2 quarters, 5 dimes, and 0 nickels.

26. 3 quarters, 0 dimes, and 5 nickels.

27. 3 quarters, 1 dime, and 3 nickels.

28. 3 quarters, 2 dimes, and 1 nickel.

29. 4 quarters, 0 dimes, and 0 nickels.

Hope this helped!

Wiki User

2013-04-29 23:30:51
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