Math Problem Statement
Find all combinations of 2 of these numbers(1,2, 2, 3) that add up to 4
Solution
We are tasked with finding all unique combinations of two numbers from the set that add up to 4.
Step-by-step approach:
- First, list all possible pairs of two numbers:
- Now, check which pairs sum to 4:
- (does not work)
- (does not work)
- (works)
- (works)
- (does not work)
- (does not work)
Conclusion:
The pairs that sum to 4 are:
These are the two unique combinations.
Would you like more details or have any other questions?
Here are 5 related questions:
- How would the process change if the set had more numbers?
- What if you needed to find combinations that sum to a different value, like 5?
- How would the solution change if the numbers had to be distinct?
- Can you generalize this approach for larger sets of numbers?
- What happens if you need to find combinations of 3 numbers?
Tip: When solving problems with combinations, make sure to avoid counting the same pair more than once if order does not matter.
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Addition
Set Theory
Formulas
Sum of two numbers a + b = 4
Theorems
Combination without repetition
Suitable Grade Level
Grades 5-7
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