You could roll a 6-sided die 3 times to simulate this. This is a good simulation because it has one side for each possible tool, and each roll is independent, just as selecting the tool with replacement would be.
The two numbers that can possibly be Max's number are 617237 and 627137.
- We are provided with several characteristics of the numbers about which Max is thinking.
- The number is a 6-digit number.
- The number is odd.
- The numbers have the same digits at 1000 s and 1 s place value.
- The number is greater than 500,000.
- The sum of all the digits of the number equals 26.
- According to the rules, the digits at 1000s and 1s places should be the same as well as odd. They can be 1, 3, 5, 7, or 9.
- The leftmost digit should be more than 5, so it can be 6, 7, 8, or 9.
- The remaining digits can be filled in such a way that the total sum is 26.
- There are a number of possible answers.
- So, we will take any two such numbers that follow all the rules.
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The length of the radius or r is 12 units.