Question

2. (Counting.) If you ever have to move house, the New Zealand Post has a useful redirection service they offer. For a small fee, you can ask them to forward all mail sent to your name at r old flat to your new flat for a few months you However, their interpretation of "your name" is a little tricky. Per the NZPost website, a message addressed to "Mr. J Smith" would not get redirected if the only name you gave them for redirection was "Mr. John Smith." Similarly, a message to "Dr. John Smith" or "Mr Smith, John" or "Mr. John A. Smith" would all not be redirected unless you told them about these names as well. As such, they ask you to list all possible variations of the names to be redirected. (a) Professor Hinke Maria Osinga is a mathematician in the Department of Mathematics here at the University of Auckland. She works in applied and computational mathematics (in which she uses computers to generate images like the one at right to solve problems!), and is one of the worldwide leaders of research in her field Suppose that she was moving, and wants to ask the NZ Post office to redirect mail to her Prof. Osinga has three possible titles (Dr., Prof., Professor) that can go in the front of her name. Any one of these titles can be listed, or no title can be listed. Her name can then be listed in any of the formats "First Middle Last", "Last, First Middle", "First Last". "Last, First", or just "Last". Each time a name is used, it can either be written out in full "Maria") or just given by a first initial ("M") Finally, suppose that she has four possible honorifics (FRSNZ, Ph. D, SIAM fellow NZMS fellow), that can go on the end of her name. Any subset of these can go on to the end of her name, and the order matters here (i.e. listing them in a different order technically yields a different "name.") Any possible combination of title-name-honorifics is valid. How many title-name-honorific combinations would she need to list with the New Zealand Post Office, to ensure that mail sent to any of these names would go to her? (b) Suppose that the order in which the honorifics is listed does not matter. How does this change your answer to (a)? (c) The NZPost website only lets you list twelve possible full title-name-honorific combina- tions for redirecting mail. Given your answers above, do you think that this is a reasonable design choice for their website?

Answer 1

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