We need to find a combination of the given numbers that add up to 12,507 without repeating any value. I'll attempt this step-by-step and provide an exact combination.

Given numbers:

• 11,340
• 648
• 236
• 164
• 16,764
• 16,556
• 14,120
• 7,661
• 9,602
• 9,234
• 8,791
• 7,970
• 7,947
• 5,100
• 6,846
• 6,221
• 3,906
• 5,735
• 3,476
• 3,457
• 3,457
• 4,896
• 4,247
• 2,495
• 3,654
• 2,066
• 2,066
• 1,436
• 1,963
• 1,912
• 1,626
• 1,528
• 1,414
• 861
• 1,150
• 1,084
• 814
• 805
• 765
• 634
• 391
• 575

Let me calculate a possible combination.A combination of numbers from the given set that add up to 12,507 is:

• 7,947
• 3,476
• 1,084

These three values sum to exactly 12,507.

Would you like more details, or do you have any questions?

Here are 5 related questions:

1. Can we find a different combination for the same sum?
2. How can we verify the sum of multiple numbers quickly?
3. What techniques are useful in solving such number combination problems?
4. How would this problem change if some numbers could repeat?
5. Can such problems be solved more efficiently with programming?

Tip: When solving number combination problems, breaking down larger numbers first often simplifies finding solutions.