Math Problem Statement

サッカー部10人、水泳部10人、柔道部8人からランダムで3人を選んだ時、3人中2人だけが同じ部活になる確率は何%か。小数点以下第一位を四捨五入して整数のみで答えよ。

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Probability

Formulas

Combination formula: C(n, k) = n! / (k!(n - k)!)
Probability formula: P(Event) = Number of favorable outcomes / Total number of outcomes

Theorems

Combination theorem
Basic probability theorem

Suitable Grade Level

Grades 10-12