Kaitlin is choosing a 2 - letter password from the letters A,b,c and d. The password cannot have the same letters repeated in it. How many such passwords are possible
How many are possible
12
To find the number of possible passwords, we need to consider the number of choices for each position in the password.
For the first position, there are 4 choices (A, B, C, D).
For the second position, there are 3 choices (since we cannot repeat the same letter from the first position).
Therefore, the total number of possible passwords is calculated by multiplying the number of choices for each position:
4 choices for the first position x 3 choices for the second position = 12 possible passwords.
Hence, there are 12 possible 2-letter passwords that can be chosen from the letters A, B, C, and D without repeating any letters.
To find out the number of 2-letter passwords that Kaitlin can choose, we need to consider that she can choose any of the 4 letters for the first position, and then any of the remaining 3 letters for the second position.
To calculate the total number of options, we need to multiply the number of choices for each position. Therefore:
Number of choices for the first position = 4 (A, B, C, D)
Number of choices for the second position = 3 (the remaining letters after choosing the first position)
So, the total number of possible passwords is: 4 * 3 = 12 possible passwords.