As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com). (a) How many domain names consisting of just two letters in sequence can be formed? domain names How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] | domain names (b) How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.] domain names How many of this length are there if either letters or digits are permitted? | domain names (c) How many domain names are there consisting of four letters in sequence? domain names How many of this length are there if either letters or digits are permitted? domain names (d) As of a certain date, 96,485 of the four-character sequences using either letters or digits had not yet been claimed a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round answer to four decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com).
(a) How many domain names consisting of just two letters in sequence can be formed?
domain names
How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A
character length of three or more is now mandated.]
domain names
(b) How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.]
domain names
How many of this length are there if either letters or digits are permitted?
domain names
(c) How many domain names are there consisting of four letters in sequence?
domain names
How many of this length are there if either letters or digits are permitted?
domain names
(d) As of a certain date, 96,485 of the four-character sequences using either letters or digits had not yet been claimed. If
a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round your
answer to four decimal places.)
Transcribed Image Text:As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com). (a) How many domain names consisting of just two letters in sequence can be formed? domain names How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] domain names (b) How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.] domain names How many of this length are there if either letters or digits are permitted? domain names (c) How many domain names are there consisting of four letters in sequence? domain names How many of this length are there if either letters or digits are permitted? domain names (d) As of a certain date, 96,485 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round your answer to four decimal places.)
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