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:

  1. Use a combinatorial approach to generate all possible sets of 5 numbers from the provided list.
  2. For each set, check if their sum equals 2164.
  3. 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:

  1. Would you like to try combinations with a different target sum?
  2. Should we consider using 6 numbers instead of 5 to meet the target?
  3. Are there any specific numbers you'd like to include in the combinations?
  4. Do you want to see combinations that get close to the target sum?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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