What is the least number of quarters, dimes, nickels and pennies needed to be able to make every value from 1 cent to 1 dollar?

{3 quarters, 1 dime, 2 nickels, 5 pennies} or

{3 quarters, 2 dimes, 1 nickel, 5 pennies}

Step-by-step explanation:

You need change for a nickel, so 5 pennies.

You need change for a dime, so 1 more nickel.

You need change for a quarter, so a dime and a nickel, or two dimes more.

You need change for $1, so 3 more quarters.

You need a minimum of 11 coins. You can use 2 nickels and a dime, or 2 dimes and a nickel to get the values between 15¢ and 25¢. The latter gives you the ability to continue up to $1.05.

see above for the possible lists