There are 29 ways.
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.
The minimum number of quarters, pennies, and nickels needed to make up 123 cents is 4 quarters, 4 nickels, and 3 pennies.
34
pennies - 100 nickels - 20 dimes - 10 quarters - 4
Among other combinations: 3 Quarters, 2 Dimes and 20 Pennies or 1 Quarter, 3 Dimes, 6 Nickels and 15 Pennies
Four.
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
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.
There are 12 different combinations using pennies, nickels and dimes. 25 pennies 20 pennies and 1 nickel 15 pennies and 2 nickels 15 pennies and 1 dime 10 pennies and 3 nickels 10 pennies 1 dime and 1 nickel 5 pennies and 4 nickels 5 pennies 1 dime and 2 nickels 5 pennies and 2 dimes 5 nickels 1 dime and 3 nickels 2 dimes and 1 nickel
Three quarters and a dime or two nickels. There are other combinations as well, such as 85 pennies.
The minimum number of quarters, pennies, and nickels needed to make up 123 cents is 4 quarters, 4 nickels, and 3 pennies.
There are 24 different combinations. 0 pennies, 7 nickels 0 pennies, 5 nickels, 1 dime 0 pennies, 3 nickels, 2 dimes 0 pennies, 1 nickel, 3 dimes 0 pennies, 2 nickels, 1 quarter 0 pennies, 1 dime, 1 quarter 5 pennies, 6 nickels 5 pennies, 4 nickels, 1 dime 5 pennies, 2 nickels, 2 dimes 5 pennies, 3 dimes 5 pennies, 1 nickel, 1 quarter 10 pennies, 5 nickels 10 pennies, 3 nickels, 1 dime 10 pennies, 1 nickel, 2 dimes 10 pennies, 1 quarter 15 pennies, 4 nickels 15 pennies, 2 nickels, 1 dime 15 pennies, 2 dimes 20 pennies, 3 nickels 20 pennies, 1 nickel, 1 dime 25 pennies, 2 nickels 25 pennies, 1 dime 30 pennies, 1 nickel 35 pennies (see the related question below for an equation used for these)
Seven combinations that I can come up with: two dimes a nickel and three pennies all pennies two dimes and eight pennies a quarter and three pennies five nickels and three pennies three nickels one dime and three pennies two nickels one dime and eight pennies
34
pennies - 100 nickels - 20 dimes - 10 quarters - 4
Just a few ways include... 79 pennies. 3 quarters and 4 pennies. 7 dimes, 1 nickel, 4 pennies. 7 dimes, 9 pennies. 15 nickels, 4 pennies. 2 quarters, 2 dimes, 1 nickel, 4 pennies. 2 quarters, 2 dimes, 9 pennies. 2 quarters, 5 nickels, 4 pennies. 2 quarters, 29 pennies.
They sound different because they are different sizes and made of different metals.