Question

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there?
a.
175,760
b.
456,976
c.
703,040
d.
1,679,616

Answer 1

First three positions: letters, each 26 choices (repetition allowed) → 26^3 = 17,576.
Last position: one of 10 special characters → 10 choices.
Total = 26^3 × 10 = 17,576 × 10 = 175,760.

Answer: a. 175,760