Unformatted text preview: W ! r
W ¦ ¦ A–4 Let be the set of ordered triples
elements of a ﬁnite set . Suppose that B–3 Given that
, ﬁnd,
with proof, the largest possible value, as a function of
(with
), of § ¢
£¡ A–3 Suppose that each of 20 students has made a choice of
anywhere from 0 to 6 courses from a total of 6 courses
offered. Prove or disprove: there are 5 students and 2
courses such that all 5 have chosen both courses or all 5
have chosen neither course. 1. B–2 Show that for every positive integer , jih g A–2 Let
and
be circl...
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 Fall '08
 Staff
 Math, Real Numbers, Natural number, William Lowell Putnam Mathematical Competition

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