There are 2,681 possibilities.
You can have as few as 12 coins with
1 dollar coin, 5 25-cent coins, 3 10-cent coins,
1 5-cent coin, and 2 1-cent coins.
Or you can have as many as 327 coins with
1 dollar coin, 2 25-cent coins, 1 10-cent coin,
1 5-cent coin, and 322 1-cent coins.
Edwin