Math Problem Statement

Please list every combination of 4 of these numbers(245,300,310,318,325,360,360,390,405,405,435,440,442,460,490,495,525,545,680) that add up to 1749.

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Addition
Subset Sum Problem

Formulas

nCr (Combination formula for selecting r items from n)
Sum formula

Theorems

Subset Sum Problem (an NP-complete problem)

Suitable Grade Level

High School to College (Grades 11-12 and beyond)