xiaoying has a piggy bank with 7 pennies, 7 nickels, 7 dimes and 7 quarters. how many different handfuls of 8 coins could she grab from the piggy bank?

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20-12-2022
Mathematics

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xiaoying has a piggy bank with 7 pennies, 7 nickels, 7 dimes and 7 quarters. how many different handfuls of 8 coins could she grab from the piggy bank?

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-22T21:39:13-05:00

There are 1764 different combinations of 8 coins she could grab from the piggy bank.

1. Calculate the total number of combinations of 8 coins she could grab from the piggy bank:

7 pennies x 7 nickels x 7 dimes x 7 quarters = 2401 combinations

2. Subtract the combinations with more than 8 coins:

7 pennies x 7 nickels x 7 dimes x 6 quarters = 1764 combinations

3. The total number of different handfuls of 8 coins she could grab from the piggy bank is 1764.

She could grab 8 pennies, 8 nickels, 8 dimes, 8 quarters, 7 pennies and 1 nickel, 7 pennies and 1 dime, 7 pennies and 1 quarter, 7 nickels and 1 penny, 7 nickels and 1 dime, 7 nickels and 1 quarter, 7 dimes and 1 penny, 7 dimes and 1 nickel, 7 dimes and 1 quarter, 7 quarters and 1 penny, 7 quarters and 1 nickel, 7 quarters and 1 dime, and any other combination of 8 coins she can think of.

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