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

To find every combination of four numbers from the list that sum up to 1749, I will calculate all possible combinations of 4 numbers and check which ones add up to that total. I'll now work on that.There are no combinations of four numbers from the given list that add up to 1749.

If you have any specific requirements or additional constraints, feel free to share them! Here are a few related questions for further exploration:

  1. Do you want to explore combinations of different numbers, like 3 or 5?
  2. Would you like to know the closest sum we can achieve with 4 numbers from this list?
  3. Is there a different target sum you'd like to try?
  4. Would you like to know which pair or triplet comes closest to your target?
  5. Can we introduce repetition or use more than four numbers?

Tip: When working with combination problems, ensuring that all criteria (like the exact sum) are clear can help refine results efficiently.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Number Theory
Summation

Formulas

Combination formula: C(n, k) = n! / (k!(n-k)!)
Summation of numbers

Theorems

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Suitable Grade Level

Grades 11-12 or College-level