SOLUTION: A vending machine accepted any combination of nickels, dimes, and quarters that added to 50 cents. How many different combinations of coins were possible?

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Question 390165: A vending machine accepted any combination of nickels, dimes, and quarters that added to 50 cents. How many different combinations of coins were possible?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
 1.  10 nickels.
 2.   1 dime and 8 nickels.
 3.   2 dimes and 6 nickels.
 4.   3 dimes and 4 nickels.
 5.   4 dimes and 2 nickels.
 6.   5 dimes
 7.   1 quarter and 5 nickels.
 8.   1 quarter, 1 dime, and 3 nickels.
 9.   1 quarter, 2 dimes, and 1 nickel.
10.   2 quarters.