There are 12 different ways to make change for a quarter without using a quarter itself.
A penny is worth 1 cent, a nickel is worth 5 cents, and a dime is worth 10 cents. With these values, the following combinations of coins will make change for a quarter, which is 25 cents:
Order: pennies, nickels, dimes
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(1) 25 pennies
(2) 20 pennies, 1 nickel
(3) 15 pennies, 2 nickels
(4) 15 pennies, 1 dime
(5) 10 pennies, 3 nickels
(6) 10 pennies, 1 nickel, 1 dime
(7) 5 pennies, 4 nickels
(8) 5 pennies, 2 nickels, 1 dime
(9) 5 pennies, 2 dimes
(10) 5 nickels
(11) 3 nickels, 1 dime
(12) 1 nickel, 2 dimes