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Worksheets

Foundation Course

Total questions: 30

Worksheet time: 30mins

Name
Class
Date
1.
What is the value of 8!
a)
40320
b)
36
c)
362880
d)
5040
2.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

3.
20P2
a)
20
b)
380
c)
6840
d)
116280
4.
What does 10Pmean?
a)
Permutations with 5 choices and 10 positions
b)
Permutations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks
5.
How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 
a)
15C2=105
b)
15P2=210
c)
15 x 2 = 30
d)
100 ways
6.
Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?
a)
8
b)
64
c)
8!
d)
56
7.
How many ways can you arrange 2 letters from the word
S Q U A R E?
a)
30
b)
140
c)
320
d)
45
8.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

9.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
10.
12P4
a)
24
b)
132
c)
1320
d)
11880
11.
12C3
a)
0
b)
1
c)
220
d)
1140
12.
15C2
a)
15
b)
105
c)
455
d)
1365
13.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
14.
13C0
a)
0
b)
1
c)
13
d)
26
15.
25C1
a)
25
b)
50
c)
300
d)
230
16.
14C14
a)
0
b)
1
c)
14
d)
196
17.

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

a)

8

b)

6

c)

4

18.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

19.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
20.

A DJ has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

a)

84

b)

504

c)

9!

d)

3!

21.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

22.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}


Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

23.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
24.

Set C is the set of whole numbers less than 9. Write the set using the Roster method.

a)

C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

C = {1, 2, 3, 4, 5, 6, 7, 8}

d)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

25.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

26.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

27.
From the above Venn diagram, what is the set S ∩ T?
a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

28.

If U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}

then what is W ' ?

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

29.

Which one is not a set?

a)

A group of Math books

b)

A group of funny books

c)

A group of Biology books

d)

A group of Chemist books

30.

Which among the following set is written in roster form if set A contains the elements of even whole numbers less than 10?

a)

A = {1, 3, 5, 7, 9}

b)

A = {2, 4, 6, 8}

c)

A = {x/x is an even number less than 10}

d)

A = {x/x is an even number}