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A boy has the following seven coins in his pocket: $2$ pennies, $2$ nickels, $2$ dimes, and $1$ quarter. He takes out two coins, records the sum of their values, and then puts them back with the other coins. He continues to take out two coins, record the sum of their values, and put them back. How many different sums can he record at most?

 Mar 15, 2020
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The answer is 9 different sums. Hope it helped a bit!

 Mar 27, 2020

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