Question

In: Statistics and Probability

1. UCI is letting students choose a new UCInetID username. Under the new system, each username...

1. UCI is letting students choose a new UCInetID username. Under the new system, each username must

be exactly 8 characters long; available characters are lowercase letters (a-z, 26 possible choices) and

numerical digits (0-9, 10 possible choices).

UCI would like the first character and the last three characters to be numerical digits, and the middle

four characters to be letters.

(a) How many different UCInetID usernames are possible?

(b) How many different UCInetID usernames are possible if none of the numerical digits can be used

more than once?

(c) How many different UCInetID usernames are possible if no character (letters or numbers) can be

used more than once?

(d) You are trying to log in to Canvas, but you have forgotten your UCInetID username over the

winter break. You don’t remember the whole username, but you do remember that the first three

characters are ”3li.”

Using this information you take a guess. What is the probability that you guess correctly? Note:

the only restrictions are those from the original problem, not any previous sub-problems.

Expert Solution

orchestra answered 2 years ago

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