Question
What type of counting problem is this?<br>
How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?
Permutation with repetition
Permutation without repetition
Combination without repetition
Combination with repetition
How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?
Permutation with repetition
Permutation without repetition
Combination without repetition
Combination with repetition
Answers
GPT-4o mini
This problem involves selecting coins (pennies, nickels, dimes, and quarters) where the order of selection does not matter and where you can select multiple coins of the same type. Therefore, it is a problem of combinations with repetition.
In this case, since you can choose 4 coins and there is no restriction on how many of each type of coin you can choose, the correct classification for this counting problem is:
**Combination with repetition.**
In this case, since you can choose 4 coins and there is no restriction on how many of each type of coin you can choose, the correct classification for this counting problem is:
**Combination with repetition.**