Math Problem Statement

甲、乙、丙、丁四人进行象棋比赛,两人需要比赛1场:每场比赛获胜者得3分,失败者不得分,平局双方各得1分。截止到10:00,甲比了3场,得了4分;乙比了2场,得了3分;丙比了1场,得了1分。丁比了儿场?得了儿分?

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Scoring Systems

Formulas

Combinatorial formula C(n, k) = n! / (k! * (n - k)!)

Theorems

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Suitable Grade Level

Advanced High School