How many different amounts of change can be made from a penny, nickel, dime, quarter, loonie, and a toonie? - how many different amounts
How many different amounts of change can make a penny, nickel, dime, quarter dollar to be made, and a two-dollar coin?
Saturday, February 20, 2010
How Many Different Amounts How Many Different Amounts Of Change Can Be Made From A Penny, Nickel, Dime, Quarter, Loonie, And A Toonie?
1 comment:
You can include almost all sub-groups:
(1, 5, 10, 25, 100, 200)
It is important to consider (you can not just assume improvised) is that no two types of coins that can give the same amount.
Why?
Basically, because they reduce money as possible, under all circumstances. For example:
$ 3.36
Here I know the two dollar coin to be used. Why? Without them, it may be sufficient to $ 3.51. Remove the two dollar coin:
$ 1.36
Here, I know that the Canadian dollar should also be used (for the same reason) as before. So:
36 ¢
You need the quarter. Without them, would never have 36 ¢. So:
You get the idea?
Well, if you already have.They know that everything we have to do is count the number of subsets of this set of coins. There are 6 coins, which means that changing it amounts to 2 ^ 6.
2 ^ 6 = 64 numbers
Note that $ is 0.00, the amount of change. I did not know why others are excluded (but no explanation in any case!)
Note that if you have a different set of coins, it is not the same way. For example, if you have:
5 cents, 2 cents, 4 pennies, 1 quarter
They would be able to do things like:
3 + 4 pennies = Nickel 1 + 2 + 1 term nickel dime
There is another subset, but the same amount.
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