You are asked to use six different letters to make a computer password. Find the number of possible six letter passwords.
I think its Either 720 or 165765600
It can indeed be either, depending on whether you are given a set of six letters, or allowed to choose your own six from the whole alphabet.
English alphabet has 26 letters.
If letters come from the alphabet and the password does not allow repetition of the letters and is case-insensitive, then the number of possible combinations in six letters is
26*25*24*23*22*21 = 165765600
hope this helps~ `u`
(I apologize if someone has already posted an answer/solution before me. I've got slow internet and I can't seem to post my comment right away.)
To find the number of possible six-letter passwords using six different letters, we can use the concept of permutation.
Permutation is the arrangement of objects in a specific order. In this case, we want to arrange six different letters to form a six-letter password.
The formula for permutation is given by:
nPr = n! / (n - r)!
where n is the total number of objects and r is the number of objects to be arranged.
In this case, we have six different letters, so n = 6. We want to arrange all six letters to form a six-letter password, so r = 6.
Using the permutation formula, we can calculate the number of possible six-letter passwords:
6P6 = 6! / (6 - 6)!
= 6! / 0!
= 6! / 1
= 6 x 5 x 4 x 3 x 2 x 1 / 1
= 720
Hence, the number of possible six-letter passwords using six different letters is 720. So your answer is correct.