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 all the combinations of 4 numbers from the list that sum to 1749, I'll systematically check different possible groupings. Since this is a computationally heavy task involving combinations, I’ll start by listing all possible 4-number combinations and checking their sums.

Let me compute that for you.It appears that no combination of 4 numbers from the provided list adds up to 1749. If you'd like, I can help with other variations, like using 3 or 5 numbers, or checking for the closest possible sums.

Do you want further details or have any questions?

Here are 5 relative questions to consider:

  1. Would you like to try finding combinations that sum to a different target?
  2. Are there any specific ranges of numbers you'd like to focus on for this problem?
  3. Would you like to explore combinations of a different number of elements (e.g., 3 or 5)?
  4. Do you want to explore the closest possible sums to 1749?
  5. Would you like to see the approach to filter specific numbers in the combination?

Tip: For large number sets, narrowing down the target range or allowing flexibility in sums can sometimes help in finding interesting combinations.

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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)