Solve Permutation Problem: 36 Combination Lock

[ajgrebel]

1. I've only just scrapped through math in high school but recently I have started to take up an interest in the subject. I was listening to a math podcast and they posted a question to be answered the following episode. However, I cannot seem to track that one down and I really need an answer because I'm starting to obsess on it.



2. A 3 combination lock has 36 possible numbers. What are all the possible combinations if you can reuse numbers but not consecutively? Examble: 121 but not 112, or 122



3. I assumed that you would take 36*35*35 which would be 44,100 different possible combinations. Is this correct? I'm more interested in the correct equation to use, then I am the answer.

 

[tiny-tim]

welcome to pf!

hi ajgrebel! welcome to pf!

2. A 3 combination lock has 36 possible numbers. What are all the possible combinations if you can reuse numbers but not consecutively? Examble: 121 but not 112, or 122

3. I assumed that you would take 36*35*35 which would be 44,100 different possible combinations. Is this correct? I'm more interested in the correct equation to use, then I am the answer.

yes that's correct

 

[ajgrebel]

Thank you for letting me know