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Discrete Mathematics Classroom Activities. Richard Anderson University of Washington. Draw a picture of yourself. Inclusive or exclusive?. Coffee or tea comes with dinner A password must have at least three digits or be at least eight characters long.

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Discrete Mathematics Classroom Activities

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Discrete MathematicsClassroom Activities

Richard Anderson

University of Washington

IUCEE: Discrete Mathematics


Draw a picture of yourself


Inclusive or exclusive?

  • Coffee or tea comes with dinner

  • A password must have at least three digits or be at least eight characters long.

  • To take discrete mathematics, you must have taken calculus or a course in computer science.

  • You can pay using US Dollars or Indian Rupees.

e, I, I, either


Rewrite in the form “if p then q” in English:

It is necessary to walk 8 miles to get to the top of Long’s Peak.

IUCEE: Discrete Mathematics


Translate into logic Do not use uniqueness operator

Everyone has exactly one best friend

IUCEE: Discrete Mathematics


Translate into logic

There is some restaurant that serves some food that everyone likes

IUCEE: Discrete Mathematics


Identify the domain, codomain, range, image of a, and the preimage of 2

A B

1

a

b

2

c

3

d

4

e


How many zeros are there at the end of 100!


If a club has 25 members how many ways are there to choose the president, secretary, and treasurer, where no person can hold more than one office?


Suppose that E and F are events such that p(E) = 0.7 and p(F) = 0.5. Show that p(E  F)≥0.7 and P(E  F)≥0.2


Is R reflexive, symmetric, antisymmetric, transitive, if

  • R = {(x,y) | xy ≥ 1}

  • R = {(x,y) | x and y are both negative or both nonnegative}

  • R = {(x,y) | x ≥ y2}


What is the contrapositive of “if all cycles of G have even length, then G is bipartite”


Prove that a directed graph of n diamonds has 2n paths from s to t

t

s


Identify the strongly connected components of the graph


Draw a graph that has degree sequence 1, 2, 3, 3, 3


Draw a graph that has degree sequence 3, 3, 3, 3, 3


How many edges does Mn,m have?


Is the following pair of graphs isomorphic?


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