SOLUTION: The digits 0, 1, 2, 3,and 4 are to be used in a three-digit ID card. How many different cards are possible if repetitions are NOT allowed? I don't know how to do this!

Algebra ->  Probability-and-statistics -> SOLUTION: The digits 0, 1, 2, 3,and 4 are to be used in a three-digit ID card. How many different cards are possible if repetitions are NOT allowed? I don't know how to do this!      Log On


   



Question 294145: The digits 0, 1, 2, 3,and 4 are to be used in a three-digit ID card. How many different cards are possible if repetitions are NOT allowed?
I don't know how to do this!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Number of choices for first digit * Number of choices for second digit * Number of choices for third digit = 5 * 4 * 3 = 60

Note: Notice how the number of digit choices decreases (since repetitions are not allowed)

So there are 60 possible 3-digit ID card combinations.