Math Problem Statement
make numbers 1 through 50 with numbers 1, 2, 3, and 4 using each one once and use all digits
Solution
To construct numbers from 1 through 50 using only the digits 1, 2, 3, and 4 exactly once in each number, while ensuring that all digits are used, the numbers that can be formed are as follows:
- 12
- 13
- 14
- 21
- 23
- 24
- 31
- 32
- 34
- 41
- 42
- 43
These numbers use the digits 1, 2, 3, and 4 exactly once in each number.
Further Questions
- Can you form numbers higher than 50 using only 1, 2, 3, and 4 each exactly once?
- How many different numbers can you form if you allow three digits?
- What is the highest number you can form with these digits?
- What combinations of digits would form prime numbers within this range?
- How would the set of numbers change if repetition of digits were allowed?
Tip: When constructing numbers with specific digits, consider systematically checking each combination to ensure all possibilities are covered.
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Math Problem Analysis
Mathematical Concepts
Permutations
Combinations
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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