Question 630066: How many possible combinations are there for having 36 cents, using pennies, nickels, dimes, and quarters?
Answer by AnlytcPhil(1806)   (Show Source):
You can put this solution on YOUR website!
1. If you don't use any quarters or dimes, you can use from 0 through 7 nickels
and the rest in pennies. That's 8 ways.
2. If you don't use any quarters and 1 dime, you have to make the remaining
26 cents using nickels and pennies. So you can use from 0 through 5 nickels
and the rest in pennies. That's 6 ways.
3. If you don't use any quarters and 2 dimes, you have to make the remaining
16 cents using nickels and pennies. So you can use from 0 through 3 nickels
and the rest in pennies. That's 4 ways.
4. If you don't use any quarters and 3 dimes, you have to make the remaining
6 cents using nickels and pennies. So you can use 0 or 1 nickel and the rest
in pennies. That's 2 ways.
5. If you use 1 quarter and no dimes, you have to make the remaining
11 cents using nickels and pennies. So you can use from 0 through 2 nickels
and the rest in pennies. That's 3 ways.
6. If you use 1 quarter and 1 dime, you have to make the remaining
1 cent with 1 penny. That's 1 way.
Total number of ways: 8 + 6 + 4 + 2 + 3 + 1 = 24 ways.
Edwin
|
|
|
