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 given set that add up to 2164, we can take the following steps:
- Use a combinatorial approach to generate all possible sets of 5 numbers from the provided list.
- For each set, check if their sum equals 2164.
- Return the sets that satisfy the condition.
Since this problem requires generating and checking combinations, I will compute it step-by-step.
Let me calculate this now.It seems that there are no combinations of 5 numbers from the provided set that add up to 2164. This means it's not possible to select 5 numbers from this list that satisfy the given sum condition.
Would you like to adjust the criteria or explore further? Here are some related questions for deeper exploration:
- Would you like to try combinations with a different target sum?
- Should we consider using 6 numbers instead of 5 to meet the target?
- Are there any specific numbers you'd like to include in the combinations?
- Do you want to see combinations that get close to the target sum?
- Would you like to explore combinations with repeated values?
Tip: When working with large sets of numbers and strict conditions, it's useful to relax constraints (like increasing the set size) to find approximate solutions.
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Addition
Number Theory
Formulas
Sum formula for combinations
nCr (Combination formula)
Theorems
Combination theorem
Suitable Grade Level
Grades 9-12