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Discrete Math

Total questions: 35

Worksheet time: 12mins

Name
Class
Date
1.

Permutation or Combination: The student body of 30 students wants to elect a president, vice president, secretary, and treasurer.

a)

permutation

b)

combination

2.

Permutation or Combination: Rob and Micaela are planning trips to four countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.

a)

permutation

b)

combination

3.

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

a)

permutation

b)

combination

4.

Permutation or Combination: A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

a)

permutation

b)

combination

5.

Permutation or Combination: You are setting the combination on a four-digit lock. You want to use the numbers 3817 but don't care what order they are in.

a)

permutation

b)

combination

6.

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

a)

permutation

b)

combination

7.

Permutation or Combination: Willie and Paul are planning trips to two countries this year. There are 10 countries they would like to visit. One trip will be one week long and the other two weeks.

a)

permutation

b)

combination

8.

It is a collection of well-defined group of objects.

a)

Element

b)

Set

c)

Cardinality

d)

Universal Set

9.

1. Which best describe the set

{0, 2, 4, 6, …}?

a)

Set of all counting numbers divisible by 2

b)

Set of all composite numbers

c)

Set of all whole numbers divisible by 2

d)

Set of rational numbers

10.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

11.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

12.

Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.

a)

D = {m, a, t, h, e, m, a, t, i, c, s}

b)

D = {m, a, t, h}

c)

D = {m, a, t, h, e, i, c, s}

d)

D = {m, a, t, h, i, c, s}

13.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
14.

Which of the following means proper subset?

a)

\subset  

b)

\subseteq  

c)

\in  

d)

=

15.

Equivalent sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

16.

Equal sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

17.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

18.

All equal sets are equivalent sets.

a)

TRUE

b)

FALSE

c)

MAYBE

19.

What is the cardinality of a null set?

a)

0

b)

1

c)

infinite

d)

undefined

20.

List all the elements in A= {letters in the word "BOOK"}.

a)

A= {B,O,K}

b)

A= {B,O,O,K}

c)

A= {B,K}

d)
21.

Name the given set

a)

Set of birds

b)

Set of parrots

c)

Set of hummingbirds

d)

Set of peacocks

22.

It is a set containing all the elements and other sets including itself.

a)

Well-defined Set

b)

Finite Set

c)

Universal Set

d)

Null Set

23.

Which of the following is an example of a finite set?

a)

A set of positive numbers

b)

A set of whole numbers

c)

A set of whole numbers less than 100

d)

A set of negative numbers less than 100

24.

A is a set of letters in a word "MEAN".

B is a set of letters in a word "NAME".

A and B are ______sets.

a)

Equivalent

b)

Equal

25.

What is the punctuation mark used to enclose elements of sets?

a)

Curly Brackets

b)

Curly Braces

c)

Parenthesis

d)

Quotationn

26.

What is the other term for "Empty Sets"?

a)

Null set

b)

Nell Set

c)

Nill Set

d)

Noll Set

27.

Set A is a set of all planets in Milky Way.

a)

Set

b)

Not a set

28.

Set B is a set of all famous celebrities.

a)

Set

b)

Not a set

29.

Set E is a set of all ways to fly

a)

Set

b)

Not a set

30.

Set F is a set of all names of your pets.

a)

Set

b)

Not a set

31.

{ x | x is a Marymount Student}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequality

32.

P={a, b, c, d, e, f, g, h, i, j, k, l,m}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequalities

33.

Which of the following statements are true for the Venn diagram shown?

a)

Overlapping sets

b)

Subsets

c)

Disjoint sets

d)

Equal sets

34.

Which of the following statements are true for the Venn diagram shown?

a)

A is a subset of B

b)

B is a subset of A

c)

A = B

d)

A and B are disjoint sets

e)

B is a superset of A

35.

Which of the following is the symbol for element of?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset