Question 480760: Would like to see the solution for the following problem: How many ways can you make change for a dollar using nickels, dimes, and/or quarters?
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website!
If you use no quarters you can use from 0 up to 10 dimes and the rest
if any in nickels. That's 11 ways.
If you use just 1 quarter, you can make the remaining 75 cents by using
from 0 up to 7 dimes and the rest in nickels. That's 8 more ways.
If you use 2 quarters, you can make the remaining 50 cents by using from
0 up to 5 dimes and the rest if any in nickels. That's 6 more ways.
If you use 3 quarters, you can make the remaining 25 cents by using from
0 up to 2 dimes and the rest in nickels. That's 3 more ways.
If you have 4 quarters, that's the whole dollar, so that's 1 more way.
So that's 11+8+6+3+1 = 29 ways.
Edwin
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