Reference no: EM132847939
A password is a sequence of seven characters. Each character is one of twenty-six uppercase letters("A" Through "Z") one of ten digits ("0" through "9"), or one of five symbols ("+", "-", "!","<", ">"). count the number of possible passwords that can be created in each of the following scenarios.
1) Each character in the password must be different from the other characters (i.e. none are repeated)
2) The password must contain at least one symbol.
3) The password must contain exactly two symbols, and they must be the first and last characters.
4) Re-solve Part (d) if one symbol must be the first character, but the second symbol can appear anywhere. [HINT: In some cases, it may be easier to count the number of passwords that follow a particular structure, then subtract the number of passwords with that structure that do not meet your other requirements. In other cases, it may be easier to count the number of passwords in each of a few different structures, then add them together.]