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

To solve this, we need to find all combinations of five numbers from the list that add up to 2164.

Let’s break it down step by step:

1. We will examine each subset of 5 numbers from the provided list.
2. Check if their sum is exactly 2164.
3. If true, that combination is a valid solution.

I'll run the algorithm to compute all valid combinations. Let's proceed!It turns out that there are no combinations of five numbers from the list that sum up to 2164. 

If you'd like, I can explore alternate possibilities, such as increasing or decreasing the number of numbers in the combination or adjusting the target sum.

Would you like to try something else or further explore this problem?

Here are five related questions:
1. Would you like to find combinations that come close to the sum of 2164?
2. Do you want to explore combinations of more than or fewer than 5 numbers?
3. Should we explore different target sums based on nearby values?
4. Would filtering the list of numbers based on certain criteria help?
5. Are there any other similar sets of numbers you'd like to work with?

**Tip:** When working with combinations, consider how the range and repetition of values can influence the likelihood of hitting a target sum.

Explore how to find combinations of 5 numbers from a given list that sum up to 2164 using combinatorics and summation techniques. This problem involves algorithmic search and is suitable for high school students (Grades 10-12).

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