SOLUTION: A combination lock has 5 different numbers. If each number can only be used ONCE, how many different combinations are possible?

Algebra ->  Permutations -> SOLUTION: A combination lock has 5 different numbers. If each number can only be used ONCE, how many different combinations are possible?       Log On


   



Question 768446: A combination lock has 5 different numbers. If each number can only be used ONCE, how many different combinations are possible?

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Since no number is used twice, there are 5 possibilities for the first number, 4 for the second, 3 for the third, 2 for the fourth, and 1 for the fifth.


There are 5*4*3*2*1 = 120 possible combinations.