Mth 355 (399)
TakeHome Exam
Due: Thursday March 20, 2003 3:30 PM or earlier
Bent Petersen
355w2003_exam.tex March 16, 2003
You may use any books, notes, calculators, computers  whatnot. Your solutions should be submitted by email, with or
without attachments as appropriate, and should include at least a sketch of your work. Part of the test is to ﬁgure out
how to communicate your solutions. You may ﬁnd a Maple Worksheet attachment convenient.
The last 2 problems are Maple problems. The solutions must be submitted on a Maple worksheet (as an email attachment).
Your email must include the statement “I certify that I have not received any help from anyone, other than possibly from
Bent Petersen, for any of the work submitted for this exam. Moreover, I certify that I have not provided any help to
anyone else, nor engaged in any discussion of the content of the exam.”
Problem 1.
(20 points).
Find the number of sequences
j
1
,j
2
,j
3
,j
4
with
1
≤
j
1
≤
j
2
< j
3
≤
j
4
≤
128
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 Spring '08
 McAllister
 Math, Derivative, The Matrix Reloaded, Bent Petersen

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