Question

You are creating a 4-letter password using only the 26 lowercase letters from the alphabet. How many unique passwords could you create (assuming the password does not need to spell a real word) if:a.Repeating letters is allowed?b.Repeating letters are not allowed?c.What are some passwords that are possible in a. that are not possible in b.? What are some passwords that are possible in either scenario?

Answer 1

Given

A 4 letter password is formed using only the lowercase letters from the alphabets.

To find:

How many unique passwords could you create (assuming the password does not need to spell a real word) if:

a. Repeating letters is allowed?

b. Repeating letters are not allowed?

c. What are some passwords that are possible in a. that are not possible in b.? What are some passwords that are possible in either scenario?

Step-by-step explanation:

It is given that,

The password is of 4 letters.

Then,

The the number of unique passwords created when,

a) Repeating letters are allowed.

That implies,

`\begin{gathered} The\text{ number of unique passwords when repetition is allowed} \\ =26*26*26*26 \\ =456976 \end{gathered}`

b) Repeating letters are not allowed.

That implies,