Respuesta :
Answer:
There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6. 720 / 6 = 120.
Step-by-step explanation:
There are 2704000 different passwords
The password must have 2 letters and 3 digits.
In representation of characters, we have:
Letters = 52 i.e. 26 upper case and 26 lower case
Digits = 10 i.e. 0 to 9
The first letter can be any of the 52 characters
The second letter can be any of the 52 characters
Each of the three digits can be any of the 10 digits.
So, the number (n) of different passwords is:
n = 52 * 52 * 10 * 10 * 10
This gives
n = 2704000
Hence, there are 2704000 different passwords
Read more about permutation and combinations at:
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