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The tinyurl.com service lets y alias a long URL to a shorter ae. For example, yo

ID: 3071042 • Letter: T

Question

The tinyurl.com service lets y alias a long URL to a shorter ae. For example, you can ask the service to send people to http:ffwww.expensive.edu/departments/math/hard/discrete/ when they enter the URL http://tinyurl.com/sdak4·n a web browser. a) How many different URLs of the form http://tinyurl.com xxxxx are possible, lf xxxx can be any string of the characters a, b, ., z, and 0, 1, ., ? Repeated characters are allowed. b) How many different URLs of the form http://tiny.comare possible, ifmust be a string consisting of three letters (a, b, 2) followed by two digits (, I, 9) (Repeats allowed.) For example, ace44, cub9s

Explanation / Answer

a)total possible choice of charecters for each place =26+10=36

henc possible URL's =365 =60466176

b) possible URL's =263*102 =1757600

c)

P(no digits) =265/365 =0.1965

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