The password for a computer account has to consist of exactly eight characters. Characters can be chosen from any of the following: letter of the alphabet, numerical digits from 0 to 9, a hyphen, or the exclamation mark. Upper-case letters (e.g., A) are considered different from lower-case letters (e.g., a), and characters can be repeated. Given these rules, how many different passwords are possible?
Choose the correct choice from the following choices:  A) 2^9  B) 2^14  C) 2^18  D) 2^40  E) 2^48
26 letters in the alphabet, 26*2 = 52 letters, since the password is case-sensitive. Accounting for possibilities of the other special characters we have;    26+26+10+1+1= 
<gadget id="calculator"> 26+26+10+1+1</gadget>
<output>64</output>
64, or 2^6 possibilities per character of the password.   Total number of possible combinations: (2^6)^8= 2^48   ANSW2^48R:2^48
<result>E</result>
The password for a computer account has to consist of exactly eight characters. Characters can be chosen from any of the following: letter of the alphabet, numerical digits from 0 to 9, a hyphen, or the exclamation mark. Upper-case letters (e.g., A) are considered different from lower-case letters (e.g., a), and characters can be repeated. Given these rules, how many different passwords are possible?