There are 13 different combinations.
For any combination, the number of pennies P, nickels N, Dimes D, and Quarters,
P + 5N +10D + 25Q = 25 (1, 5, 6, 1)
where
P = 0, 5, 10, 15, 20, 25
N = 0 to 5
D = 0 to 2
Q = 0 or 1
The combinations are
1 quarter
2 dimes and 1 nickel
2 dimes and 5 pennies
1 dime and 3 nickels
1 dime, 2 nickels, 5 pennies
1 dime, 1 nickel, 10 pennies
1 dime, 15 pennies
5 nickels
4 nickels, 5 pennies
3 nickels, 10 pennies
2 nickels, 15 pennies
1 nickel, 20 pennies
25 pennies
Among other possible combinations: 2 Quarters, 1 Dime, 4 Nickels and 20 Pennies
10 quarters 7 dimes 9 pennies and 27 nickels is: $4.64
2 quarters 3 dimes 8 nickels and 7 pennies equal $1.27
Four.
Two quarters Three nickels Three pennies
Among other possible combinations: 2 Quarters, 1 Dime, 4 Nickels and 20 Pennies
The minimum number of quarters, pennies, and nickels needed to make up 123 cents is 4 quarters, 4 nickels, and 3 pennies.
pennies - 100 nickels - 20 dimes - 10 quarters - 4
In each combination, you can have 0,1,2 or 3 pennies; you can also have 0 or 1 nickels, 0 or 1 dimes and 0 or 1 quarters. That is, 4 ways of picking the number of pennies, 2 ways of picking how many nickels, 2 for dimes and 2 for quarters. In all that makes 4*2*2*2 = 32 combinations. BUT, one of these combinations is where you have 0 pennies, 0 nickels, 0 diems and 0 quarters. Conventionally, a null combination such as this is omitted and so you have 31 valid combinations.
To find the number of ways to make 33 cents using pennies, nickels, dimes, and quarters, we can use a systematic approach. We can start by considering the maximum number of quarters that can be used, which is 1 (as 2 quarters would exceed 33 cents). Then, we can calculate the remaining amount after using 1 quarter (33 - 25 = 8 cents) and determine the combinations of nickels, dimes, and pennies that can make up the remaining amount. By considering all possible combinations, we can find the total number of ways to make 33 cents using these coins.
20
10 quarters 7 dimes 9 pennies and 27 nickels is: $4.64
2 quarters 3 dimes 8 nickels and 7 pennies equal $1.27
Four.
There are 29 ways.
Two quarters Three nickels Three pennies
8 nickels 14 pennies 5 dimes and 6 quarters equals $2.54