Homework

(Note1: You do

(Note2: The size of the smallest cycle is known as the

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Some solutions for HW#13

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Some solutions for HW#12

(Optional) (due Fri. 4/26): I know your Discrete workload has been rather light lately, so I thought I'd give you a little something extra to work on in all that free time you must have. Please work it yourself, and do not consult others (in our class or otherwise) for assistance. Turn it in to me and do not attach it to your homework.

A Martian appears before freelance mathematicians
Sam and
Max and
says "I am thinking of two numbers X and Y where 3 <= X <= Y <= 97. I'll tell Sam their sum, and Max their product, and then, because I have wise-ass tutors to fry, I'll be going." After he does all of this, but before the smell of burnt mathematician comes wafting in from the east, the following conversation ensues....

Determine X and Y. (Here's a hint.)

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Some solutions for HW#11

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Some solutions for HW#9

| e a b c d --+----------- e | e a b c d a | a e c d b b | b d e a c c | c b d e a d | d c a b e(Actually,

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Some solutions for HW#8

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Some solutions for HW#7

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Some solutions for HW#5

Give two proofs, one combinatorial and one algebraic (using our formula for "n choose k") of the following:

Section 14, #31.
Your output may be in simple ASCII, and may use *'s or something similar. An equispaced font is required. This problem will be worth bonus points equal to half an assignment, and these points are independent of your score on this assignment. Please print out your picture and your source code and submit them to me directly (do not attach to Assignment #4).

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Some solutions for HW#4

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Some solutions for HW#3

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Some solutions for HW#2

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