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A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all six ties. With another shirt, he could wear 5 ties. With the 3rd shirt, he could only wear 2 ties. How many different combinations did he have?
In a certain football league, the only ways to score are to kick a field goal for 3 points and score a touchdown for 7 points. How many positive scores cannot possibly be obtained by a team in this game?
Suppose 25 people are arranged in a circle. Three of them are selected at a random. What is the probability that none of those selected were next to each other?
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