How many 3-digit codes using the digits 0 through 9 are possible if repetitions are allowed?
A)30
B)1000
C)504
D)729

Question

Quizplus · Accepted Answer

Since repetitions are allowed for all three digits, there are 10 options for each digit (0 through 9). Therefore, the total number of possible codes is 10 x 10 x 10 = 1000. For each of the three digits, we have 10 options (0 through 9) since repetitions are allowed. Therefore, there are 10 x 10 x 10 = 1000 possible 3-digit codes.

How Many 3-Digit Codes Using the Digits 0 Through 9