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Brainteaser #01- A Dollar In Change -

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Using pennies, nickels, dimes, quarters, and half dollars, there are 292 different ways (coin combinations) to make exactly one dollar. Three quarters and five nickels is one combination, two quarters and ten nickels is another combination (same coins, but a different number of each). How many of the 292 combinations can you find?
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?
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