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4 votes
6 answers
5k views

Finding the Heavy Coin by weighing twice

Suppose you have $100$ coins. $96$ of them are heavy and $4$ of them are light. Nothing is known regarding the proportion of their weights. You want to find at least one genuine (heavy) coin. You are ...
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6 votes
5 answers
2k views

Least wasteful use of stamps to achieve a given postage

You have sheets of $42$-cent stamps and $29$-cent stamps, but you need at least $\$3.20$ to mail a package. What is the least amount you can make with the $42$- and $29$-cent stamps that is ...
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