Question 826498: How many different ways can you make up 10 cent with Euro coinage?
[So you are allowed to use 10 cent, five cent, two cent, and one cent coins].
I remember formula might be (10,4) but not sure where to go from there..?
Would appreciate some help.
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website!
There is no formula. There are four cases:
1. Use no 10 cent or 5 cent coins:
There are 6 ways, for we can use from 0 through 5 2-cent coins and
the rest, if any, in 1 cent coins.
2. Use no 10-cent coin and 1 5 cent coin.
There are 3 ways, for we can use from 0 through 2 2-cent coins and
the rest in 1-cent coins.
3. Use no 10-cent coin and 2 5-cent coins.
There is only one way, 2 5-cent coins.
4. Use 1 10-cent coin.
Also just 1 way.
Total: 6+3+1+1 = 11 ways.
Edwin
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