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Start with zero nickels, and see what the combinations are: There is only 1 combination, which is 3 dimes and 1 quarter.

Next use only 1 nickel, then you have: 2 quarters & 1 nickel, or 5 dimes & 1 nickel, so that's 2 additional combinations.

Keep going with only 3 nickels, etc, till you get to 11 nickels = 55 cents. Note that there is no way to do it with only 8 or 10 nickels.

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โˆ™ 2012-08-30 13:32:08
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Q: How many different combinations of quarters dimes and nickels make up 55 cents?
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