SOLUTION: A number lock has 9 different digits. A combination of three digits can be set to open the lock. How many combinations are possible? Can you explain how I would get the answer 84?

Algebra ->  Permutations -> SOLUTION: A number lock has 9 different digits. A combination of three digits can be set to open the lock. How many combinations are possible? Can you explain how I would get the answer 84?      Log On


   



Question 705160: A number lock has 9 different digits. A combination of three digits can be set to open the lock. How many combinations are possible? Can you explain how I would get the answer 84?
Answer by vheroli(126) About Me  (Show Source):
You can put this solution on YOUR website!
It is a combination therefore you will use nCr.
9C3 = 84
For complete solution:
9! / (6! x 3!) = 84