(a) The no. of ZIP codes: [tex]\boxed{10^{5}}[/tex]
(b) The no. of ZIP codes which first digit is 11 or 22: [tex]_{\quad\boxed{2\cdot10^{4}}}[/tex]
A postal code used by the United States Postal Service is called a ZIP code (USPS). Five digits made up the fundamental format, which was unveiled on July 1st, 1963. During the introduction of the extended ZIP+4 code in 1983, a four-digit location-specific designation was added after the five-digit ZIP Code, followed by a hyphen.
Zone Improvement Plan, or ZIP, is an acronym that stands for it. Its name was chosen to imply that when senders include the ZIP code in the postal address, the mail moves more quickly and efficiently (or "zipping along"). The USPS initially filed a service mark application for the term "ZIP Code" which became inactive in 1997.
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