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Q: How many ways can you make change for a dollar using no pennies and at most one nickel?

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it is impossible to get exactly one dollar with fifty coins. It requires half a nickel and half a penny, which is impossible (12.5 nickels and 37.5 pennies) if there are 12 nickels and 38 pennies, you get 98 cents if there are 13 nickels and 37 pennies, you get 102 cents

Using pennies, nickels, and dimes: 85 pennies 1 nickel 1 dime Total = 87 coins.

40 pennies 8 nickles 2 dimes

4 dimes, 1 nickel & 5 pennies

From my calculations, there's only 293 ways to make change for a dollar.

A half dollar and five pennies

291 ways

You can use: 1 quarter and 75 pennies 2 quarters and 50 pennies 3 quarters and 25 pennies 4 quarters and no pennies 100 pennies and no quarters

292 ... 293 if you decide to use the dollar coin too.

There are 12 different combinations using pennies, nickels and dimes. 25 pennies 20 pennies and 1 nickel 15 pennies and 2 nickels 15 pennies and 1 dime 10 pennies and 3 nickels 10 pennies 1 dime and 1 nickel 5 pennies and 4 nickels 5 pennies 1 dime and 2 nickels 5 pennies and 2 dimes 5 nickels 1 dime and 3 nickels 2 dimes and 1 nickel

1 dime 3 quarters 1 nickel 5 pennies

Assuming he is using current US coins, she has 4 pennies, 4 dimes, 1 quarter and 1 half dollar - 10 coins for a total of $1.19. He could, of course, also have any number of dollar coins as well.

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