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There are 13 different combinations.

For any combination, the number of pennies P, nickels N, Dimes D, and Quarters,

P + 5N +10D + 25Q = 25 (1, 5, 6, 1)

where

P = 0, 5, 10, 15, 20, 25

N = 0 to 5

D = 0 to 2

Q = 0 or 1

The combinations are

1 quarter

2 dimes and 1 nickel

2 dimes and 5 pennies

1 dime and 3 nickels

1 dime, 2 nickels, 5 pennies

1 dime, 1 nickel, 10 pennies

1 dime, 15 pennies

5 nickels

4 nickels, 5 pennies

3 nickels, 10 pennies

2 nickels, 15 pennies

1 nickel, 20 pennies

25 pennies

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โˆ™ 2015-09-21 09:02:00
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Q: How many possible combinations of pennies nickels dimes and quarters can total 25 cents?
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