Math Problem Statement

get me a combination of 43598 from the following set of numbers without repeating any value:                     5,000

4,998

4,998

4,998

4,998

4,500

4,500

4,500

4,000

3,456

2,500

2,500

2,500

2,500

2,500

2,500

2,500

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

2,499

1,971

1,923

1,241

1,212

1,194

1,190

1,083

1,030

1,023

966

901

866

761

746

744

555

541

533

446

269

59

40

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Number Theory
Optimization

Formulas

Sum of a subset
Backtracking algorithm for combination

Theorems

Pigeonhole Principle
Subset Sum Problem

Suitable Grade Level

College Level or Advanced High School