Math Problem Statement

Please list every combination of 4 of these numbers(200,245,290,300,310,318,325,360,390,405,405,440,442,460,490,545,670,680,680) that add up to 1804.

Solution

To solve this problem, we need to find all combinations of four numbers from the list that add up to 1804. Let's begin by iterating through the possible combinations and checking their sums.

I'll compute this systematically.

It appears that there are no combinations of four numbers from the provided list that add up to 1804. This could be due to the specific set of numbers provided.

Would you like to explore other combinations with different criteria or verify if there was an error in input? Let me know if you'd like further assistance.

Here are 5 questions to expand the discussion:

  1. Would you like to explore combinations of more or fewer numbers?
  2. Should we look for sums close to 1804 instead?
  3. Would removing any specific numbers help in finding valid combinations?
  4. Should we allow repetitions in the combinations?
  5. Would you like to investigate a different total sum?

Tip: When checking combinations, it's helpful to confirm that all numbers were entered correctly, especially in long lists.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Arithmetic

Formulas

Sum of elements in a combination

Theorems

Combinatorial sum theorem

Suitable Grade Level

Grades 9-12