Question 2.115

85. Mary must choose a new password where the first and last choices are possibly repeated lowercase letters; the second and third positions must be distinct capital letters; the fourth position must be a #, $, or & symbol; and the next three positions are distinct nonzero digits. In how many ways can she choose a password?

85.

The number of passwords can be found by performing the following multiplication: (26)(26)(26)(25)(3)(9)(8)(7).