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:
- Would you like to try combinations of 6 or more numbers?
- Should we attempt a different total sum target?
- Would you prefer to analyze sums with constraints, such as using specific numbers?
- Do you want to explore general properties of these numbers, such as their distribution?
- 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