Math Problem Statement

From a group of 12 people, you randomly select 3 of them.

What is the probability that they are the 3 oldest people in the group?

Give your answer as a fraction

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Probability

Formulas

Combination formula: C(n, r) = n! / [r!(n - r)!]
Probability formula: P(event) = Favorable outcomes / Total outcomes

Theorems

Combination theorem
Basic probability theorem

Suitable Grade Level

Grades 9-12