Math Problem Statement

Please list every combination of 4 of these numbers(200,245,290,300,310,318,325,360,390,435,440,442,460,490,495,525,545,680,680) that add up to 1749.

Solution

To find every combination of four numbers from the list that add up to 1749, I will go through all the possible combinations of four numbers and check if their sum equals 1749.

Let's go ahead and find all the valid combinations.

Here’s the list of numbers provided:

200,245,290,300,310,318,325,360,390,435,440,442,460,490,495,525,545,680,680200, 245, 290, 300, 310, 318, 325, 360, 390, 435, 440, 442, 460, 490, 495, 525, 545, 680, 680

We are looking for all possible sets of 4 numbers from this list that sum to 1749.

Let me compute that for you.It appears there are no combinations of four numbers from the given list that sum to 1749.

Would you like to try different parameters or ask another related question? Here are five potential follow-ups:

  1. Would you like to check combinations of a different number of values (e.g., 3 or 5 numbers)?
  2. Should we adjust the target sum to a different value?
  3. Would you like to see all combinations of four numbers from the list, regardless of the sum?
  4. Should we include repeated numbers to find combinations?
  5. Do you want to explore a different list of numbers?

Tip: If you're looking for combinations that approximate a target sum, allowing small variations in the result might be helpful.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Arithmetic

Formulas

Combination formula C(n, k) = n! / (k!(n-k)!)
Summation of selected values

Theorems

Basic principles of combinations and permutations

Suitable Grade Level

Grades 9-12