PUMaC 2025 · 团队赛 · 第 12 题
PUMaC 2025 — Team Round — Problem 12
题目详情
- In a game, each of 6 players get a card on which is printed a nonempty subset of { 1 , 2 , 3 , 4 , 5 } . Each round, an integer from 1 through 5 is selected at random, and any player who has this number on their card circles it. The player who first circles all numbers on their card wins. It is known that every player has a nonzero chance of winning, and there is no possibility of a tie. It is also known that three of the cards are { 1 , 2 , 3 } , { 2 , 3 , 4 } , and { 3 , 4 , 5 } . If each player multiplies the numbers on their card together, what is the sum of these 6 products?
解析
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Original Explanation
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