Elisa need to pick a numerical password that contains 4 digits using the numbers 0-9 If none of the digits can be repeated, how many 4-digit passwords are possible
10*9*8*7 is the number of passwords available.
10*9*8*7
To find the number of possible 4-digit passwords that do not allow repeated digits, we can use the concept of permutations.
Since there are 10 digits (0-9) available, we have 10 options for the first digit. Once we choose one digit for the first slot, we are left with 9 options for the second digit (as we cannot repeat the first digit). Similarly, for the third digit, we have 8 options remaining, and for the fourth digit, we have 7 options available.
To find the total number of possible passwords, we need to multiply the number of options for each digit together. Therefore, we can calculate it as follows:
10 options for the first digit × 9 options for the second digit × 8 options for the third digit × 7 options for the fourth digit
Hence, the total number of possible 4-digit passwords without repeated digits is:
10 × 9 × 8 × 7 = 5,040
So, there are 5,040 possible 4-digit passwords that Elisa can choose from.