Math Problem Statement
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.
Solution
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:
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:
- (this combination repeats)
- (this combination repeats)
- (this combination repeats)
Would you like more details or have any questions about these combinations?
Here are 5 related questions to explore further:
- How many unique combinations exist when considering only distinct sums?
- What are the largest and smallest numbers that can form a combination summing to 1484?
- How many combinations can be formed from numbers that are all below 500?
- What is the average of the numbers in the combinations that sum to 1484?
- 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.
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Arithmetic
Summation
Formulas
Sum of elements in a combination: a + b + c + d = 1484
Theorems
Combinatorial selection
Suitable Grade Level
Grades 9-12