Please list every combination of 4 of these numbers(200,245,290,300,310,314,318,325,360,360,385,390,405,405,435,440,442,460,490,495,525,545,680,680) that add up to 1484.

To find every combination of four numbers from the provided list that add up to 1484, I will explore the possibilities step by step using a systematic approach. The provided numbers are:

\[ \{200, 245, 290, 300, 310, 314, 318, 325, 360, 360, 385, 390, 405, 405, 435, 440, 442, 460, 490, 495, 525, 545, 680, 680\} \]

I'll start by determining all possible combinations and then sum up those that result in a total of 1484.

I'll calculate this now.Here are all the combinations of four numbers from the provided list that sum to 1484:

1. \( (200, 290, 314, 680) \)
2. \( (200, 290, 314, 680) \) (this combination repeats)
3. \( (245, 314, 435, 490) \)
4. \( (290, 314, 385, 495) \)
5. \( (290, 314, 390, 490) \)
6. \( (300, 314, 325, 545) \)
7. \( (314, 325, 385, 460) \)
8. \( (314, 325, 405, 440) \)
9. \( (314, 325, 405, 440) \) (this combination repeats)
10. \( (314, 360, 405, 405) \)
11. \( (314, 360, 405, 405) \) (this combination repeats)

Would you like more details or have any questions about these combinations?

Here are 5 related questions to explore further:
1. How many unique combinations exist when considering only distinct sums?
2. What are the largest and smallest numbers that can form a combination summing to 1484?
3. How many combinations can be formed from numbers that are all below 500?
4. What is the average of the numbers in the combinations that sum to 1484?
5. Are there any combinations that involve the number 680 twice?

**Tip:** When finding combinations, always double-check for repeated entries, as the same number can appear multiple times due to its frequency in the list.

Please list every combination of 4 of these numbers (200, 245, 290, 300, 310, 314, 318, 325, 360, 360, 385, 390, 405, 405, 435, 440, 442, 460, 490, 495, 525, 545, 680, 680) that add up to 1484.

Explore all possible combinations of four numbers from the set (200, 245, 290, 300, 310, 314, 318, 325, 360, 360, 385, 390, 405, 405, 435, 440, 442, 460, 490, 495, 525, 545, 680, 680) that add up to 1484. This problem involves combinatorics and arithmetic, suitable for high school students.

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