Question

to log on to a certain computer account, the user must type in a -letter password. in such a password, no letter may be repeated, and only the lower case of a letter may be used. how many such -letter passwords are possible? (there are letters in the alphabet.)

Answer 1

There are 358,800 different ways that a 4-letter password might be used.

Explain the term permutation?

• The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation.

For the stated question-

• To make a four-letter password with no repeating letters and just lowercase letters;
• Every letter from A -Z (or 26) can be used as the initial letter for the computer account.
• Apart from the first letter again for second letter, we can select any letter between A and Z.
• Whatever letter from A to Z is available for selection, with the exception of the first and second letters again for third letter.

For the fourth letter, we might select any letter between A and Z besides the first, second, and third letters.

SO;

Number of possible combinations for 4-letter passwords

= 26 × 25 × 24 × 23

= 358,800

Thus, there are 358,800 different ways that a 4-letter password might be used.

To know more about the permutation, here

https://brainly.com/question/1216161

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The complete question is-

To log on to a certain computer account, the user must type in a 4-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 4-letter passwords are possible.