Math Problem Statement

Please find every combination of 5 of these numbers (200,245,290,300,300,310,318,325,350,360,360,385,390,405,405,435,440,442,460,490,495,525,535,545,670,680,680,680) that add up to 2164

Solution

To find every combination of 5 numbers from the list that add up to 2164, this problem can be solved using a computational approach, as it's highly impractical to manually test all possible combinations due to the large number of permutations.

I will implement a solution to check all combinations and extract the ones that sum to 2164.It seems that there are no combinations of 5 numbers from the provided list that add up to 2164.

If you'd like, we can try a different target sum, or explore combinations with a different number of elements. Would you like further assistance or details on this?

Here are some related questions that can help explore further:

  1. Would you like to try combinations of 6 or more numbers?
  2. Should we attempt a different total sum target?
  3. Would you prefer to analyze sums with constraints, such as using specific numbers?
  4. Do you want to explore general properties of these numbers, such as their distribution?
  5. Would finding combinations for smaller sums be useful?

Tip: When dealing with large sets of numbers, using computational methods helps avoid manual errors and provides results efficiently.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Number Theory
Summation

Formulas

Sum of combinations formula: sum(choose(n, k))
Summation of elements in a set

Theorems

Pigeonhole Principle (in terms of finding sums in sets)
Basic principles of combinations

Suitable Grade Level

Grades 11-12, College Level