MATH 239 Assignment 2
This assignment is due at noon on Friday, May 25, 2007, in the drop boxes opposite the Tutorial
Centre, MC 4067.
1. (a) A national singing contest has 5 distinct entrants from each province (10) and each ter
ritory (3). Determine the generating function for modeling the number of ways to select
ﬁnalists if one can pick at most one ﬁnalist from each province or territory. Evaluate
the number of ways to select 7 ﬁnalists.
(b) Determine the generating function for modeling the number of ways to select ﬁnalists if
one can pick at most 3 ﬁnalists from each province or territory.
2. Use the Binomial Theorem to prove that
X
r
+
s
=
t
(

1)
r
±
n
+
r

1
r
²±
m
s
²
=
±
m

n
t
²
.
3. Write the following power series in the form (1
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 Spring '09
 M.PEI
 Math, Exponentiation, Natural number, nonnegative integer solutions

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