SOLUTION: In his pocket, Tamir has fewer than 10 coins totaling 75 cents. How many possible combinations of coins could he have?

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Question 414424: In his pocket, Tamir has fewer than 10 coins totaling 75 cents. How many possible combinations of coins could he have?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


There are 17 ways to have 75 cents in coins if you allow half dollars,
11 if you don't.

 1.  6 dimes, 3 nickels.
 2.  7 dimes, 1 nickel.
 3.  1 quarter, 2 dimes, 6 nickels.
 4.  1 quarter, 3 dimes, 4 nickels.
 5.  1 quarter, 4 dimes, 2 nickels.
 6.  1 quarter, 5 dimes.
 7.  2 quarters, 5 nickels.
 8.  2 quarters, 1 dime, 3 nickels.
 9.  2 quarters, 2 dimes, 5 pennies.
10.  2 quarters, 2 dimes, 1 nickel.
11.  3 quarters.
12.  1 half dollar, 5 nickels.
13.  1 half dollar, 1 dime, 2 nickels, 5 pennies.
14.  1 half dollar, 1 dime, 3 nickels.
15.  1 half dollar, 2 dimes, 5 pennies.
16.  1 half dollar, 2 dimes, 1 nickel.
17.  1 half dollar, 1 quarter.

Edwin
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