Thus 153014400 different passwords are possible.
"The permutation is the number of different arrangements that can be made by picking r number of things from the available n things".
For the given situation,
A computer password has to be generated with the letters
Total number of letters = 26
The letters Q and Z are not to be used in the first position. So first position have to be filled with 24 letters.
The repetition is not allowed. So arrangements is as follows,
First position = 24
Second position = 25
Third position = 24
Forth position = 23
Fifth position = 22
Sixth position = 21
Permutation gives the number of arrangements for different passwords.
⇒[tex]24[/tex] × [tex]25[/tex] × [tex]24[/tex] × [tex]23[/tex] × [tex]22[/tex] × [tex]21[/tex]
⇒[tex]153014400[/tex]
Hence we can conclude that 153014400 different passwords are possible.
Learn more about permutation here
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