A four-character password to log onto a computer is drawn from the digits 0-9 and a subset of 23 letters of the alphabet (repetition is permitted). Determine the number of passwords possible if
a) the letters used are not case sensitive (that is, a lowercase letter is treated the same as an uppercase letter).
b) the letters used are case sensitive (that is, an uppercase letter is considered different than the same lowercase letter).

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agboanthony124 agboanthony124 · Answer 1 · 2020-03-15T08:00:54+01:00

Answer:

a) the answer is 33*33*33*33= 1185921

b) the answer is 56*56*56*56= 9834496

Step-by-step explanation:

a) since the letters used are not case sensitive and repetition is allowed we have 33 options.

The 0-9 digits are 10 digits in total and the 23 letters gives us= 23+10= 33 options

Getting a four character password with repetition gives us

33*33*33*33= 1185921

b) The letters used are case sensitive and repetition allowed we have 56 options

23+23+10= 56

Getting a four character password

56*56*56*56= 9834496