Math Problem Statement

BdMO 2024 - Secondary.pdf

2.74 MB

The number ????????? is expressed as ? × ???, where ? and ? both are non-negative integers. What is the maximum possible value of ?? Where, ??? = ?! (?ି?)!

Solution

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Math Problem Analysis

Mathematical Concepts

Factorization
Factorial
Algebra

Formulas

Factorial formula n! = n × (n - 1) × (n - 2) × ... × 1

Theorems

Factorial properties
Prime factorization

Suitable Grade Level

Grades 10-12