How many different sums of money can you make with four pennies, two nickels, and six quarters?
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Answer:There are 5 different coins, so there are 2**5 possible combinations to begin -- 2 cases where either the penny is included or not, times 2 cases where either the nickel is included or not, times2 cases where the dime is included or not... -- so, we start with 32 possible combinations of coins.
15 different combinations
How many different sums of money can be made from a set of coins consisting of a penny, a nickel, a dime, a quarter, a half-dollar, and a silver dollar if exactly 4 coins are used for each sum? There are 15 different combinations of 4 coins.
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