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Canada (510,872)
MACM 101 (86)
Bobby Chan (16)
Lecture

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Department
Math & Comp Sci
Course
MACM 101
Professor
Bobby Chan
Semester
Fall

Description

 
 Macm
101
Assignment
3


 Due:
Week
8
–
AT
THE
BEGINNING
OF
YOUR
CLASS
 PLEASE
READ
CAREFULLY:
do
not
copy
the
work
of
other
students.

You
may
discuss
the
 questions
in
this
homework
with
other
students
in
this
class,
but
you
must
provide
your
 own
solutions.

Failure
to
do
so
will
result
in
a
grade
of
0
on
your
assignment.

Only
a
 selected
number
of
questions
in
this
homework
will
be
marked.
 Student
Number:
 
 
 
 
 
 
 
 
 Family
Name:

 
 
 Given
(Preferred)
Name:
 
 
 
 
 
 




 
 
 
 
 
 
 
 
 Date:
 
 
 
 
 
 
 
 
 Lateness
Policy:
 ‐ One
day
late
(from
beginning
to
your
class
–
24
hours):
10%
off
 ‐ Two
days
late:
20%
off
 ‐ Three
days
late:
30%
off
 ‐ Not
accepted
after
this
:(
 Plagiarism:
 Knowingly
or
unknowingly
present
as
one’s
work
the
ideas
or
writings
of
another
 without
appropriate
acknowledgement
or
referencing.

This
includes,
but
is
not
limited
 to:
 ‐ Paraphrasing
text
without
acknowledgement
of
the
source
 ‐ Copying
the
text
of
another
student’s
assignment
or
other
students’
assignments
 ‐ Copying
of
visual
representations
 All
forms
of
cheating
and
plagiarism
could
result
in
a
grade
of
0
for
the
whole
 assignment,
a
grade
of
“F”
for
the
course,
or
cancellation
of
enrollment.
 I
have
certified
that
the
attached
assignment
is
my
own
work
according
to
the
 plagiarism
statement
above:
 
 Signed:

 
 
 
 
 
 
 
 
 
 
 
 
 
 Please
show
your
work.

The
solutions
alone
are
worth
very
little.
 1. There
are
400
new
students
at
FIC
this
semester.

Of
the
300
students
with
known
 allergies,
180
are
allergic
to
cats,
120
are
allergic
to
dogs,
30
are
allergic
to
bears.

It
 is
also
known
that
12
have
cat
and
bear
allergies,
15
have
dog
and
bear
allergies,
 and
6
who
have
all
three
allergies.
 
 a. if
a
new
student
is
chosen
at
random,
What
is
the
probability
that
he/she
has
 exactly
2
allergies?
 
 
 
 
 
 
 
 
 
 b. If
two
new
students
are
picked
at
random,
what
is
the
probability
that
they
 both
have
cat
allergies?
 
 
 
 
 
 
 
 
 
 
 
 
 c. If
two
new
students
are
picked
at
random,
what
is
the
probability
that
they
 both
have
only
cat
allergies?
 
 
 
 
 



 
 
 
 
 
 
 
 2. Using
the
laws
of
set
theory,
show
that
for
any
sets
A
and
B
(where
’
is
the
 complement
symbol):
 A
∆
B
=
(A)’
∆
(B)’

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3. Use
a
venn
diagram
to
determine
whether
the
following
is
true:
 For
all
sets
A,
B,
and
C,
(
A
–
C
)
∩
(
C
–
B
)
=
∅
 
 
 
 
 
 
 
 
 
 
 
 
 ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ 
 
 
 ▯ ▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯hat
when
four
numbers
from
1
to
100
(inclusive)
are
picked
at
 random▯with
no
repetitions,
either
all
are
odd,
all
are
divisible
by
3,
or
all
are
 ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ divisible
by
5.
 ▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯ 
 ▯ ▯
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