ina has to create a password for the security of a software program file. She wants to use a password with 3 letters. How many passwords are allowed if no letters are repeated and the password is not case sensitive?
a.
13,800
c.
17,576
b.
15,600
d.
46,800

Question

ina has to create a password for the security of a software program file. She wants to use a password with 3 letters. How many passwords are allowed if no letters are repeated and the password is not case sensitive?
a.
13,800
c.
17,576
b.
15,600
d.
46,800

oaktree · Answer

For the first letter, there are 26 choices. For the second, there are 25, since we can't repeat. For the last, there are 24. So the number of passwords is 26*25*24, or 15600.