A passcode on a smartphone consists of 6 digits, and repetition of digits is allowed.
Determine the number of possible six-digit passcodes.
There are 10 digits to choose from (0-9) for each of the 6 digits in the passcode, with repetition allowed, so the total number of possible passcodes is:
10 x 10 x 10 x 10 x 10 x 10 = 1,000,000
Therefore, there are 1,000,000 possible six-digit passcodes.
To determine the number of possible six-digit passcodes, we need to consider the number of choices for each digit.
Since repetition of digits is allowed, we have 10 options (0-9) for each digit.
Therefore, the number of possible passcodes is calculated by multiplying the number of choices for each digit, which is 10, together for all 6 digits, as follows:
Number of possible passcodes = 10 * 10 * 10 * 10 * 10 * 10 = 1,000,000
So, there are 1,000,000 possible six-digit passcodes.