SOLUTION: I have a 4-digit pin. Numbers allowed for each digit are 0 thru 9. The numbers do not have to be used only once, but can be used up to 4 times. (Ex.: 1111, 1010, etc.). How many

Algebra ->  Permutations -> SOLUTION: I have a 4-digit pin. Numbers allowed for each digit are 0 thru 9. The numbers do not have to be used only once, but can be used up to 4 times. (Ex.: 1111, 1010, etc.). How many      Log On


   



Question 1020300: I have a 4-digit pin. Numbers allowed for each digit are 0 thru 9. The numbers do not have to be used only once, but can be used up to 4 times. (Ex.: 1111, 1010, etc.).
How many possible combinations/permutations exist for this 4-digit code, or a 6-digit code? Could you please include the formula used to obtain the answer?
Thank you,
David

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Fundamental counting principle.
For 4 digits,
N%5B4%5D=10%2A10%2A10%2A10
N%5B4%5D=10000
For 6 digits,
N%5B6%5D=10%2A10%2A10%2A10%2A10%2A10
N%5B6%5D=1000000