SOLUTION: charile has three coins each coin can be either a quarter a dime or a nickel how many possibilities are there for the total value of the coins

 1.  0 quarters, 0 dimes, and 3 nickels makes 15 cents.
 2.  0 quarters, 1 dime,  and 2 nickels makes 20 cents.
 3.  0 quarters, 2 dimes, and 1 nickel  makes 25 cents.
 4.  0 quarters, 3 dimes, and 0 nickels makes 30 cents.
 5.  1 quarter,  0 dimes, and 2 nickels makes 35 cents.
 6.  1 quarter,  1 dime,  and 1 nickel  makes 40 cents.
 7.  1 quarter,  2 dimes, and 0 nickels makes 45 cents.
 8.  2 quarters, 0 dimes, and 1 nickel  makes 55 cents.
 9.  2 quarters, 1 dime,  and 0 nickels makes 60 cents.
10.  3 quarters, 0 dimes, and 0 nickels makes 75 cents.

Edwin