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Worksheets13.3 day 1 (Factorials and Permutations)
Total questions: 17
Worksheet time: 56mins
Name
Class
Date
1.
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
2.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
3.
A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?
a)
12
b)
80
c)
28
d)
1024
4.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
5.
Which is a factorial?
a)
3!
b)
3a
c)
3?
d)
3*
6.
Expand 4!
a)
4+3+2+1
b)
4 * 3 * 2 * 1
c)
4+5+6
d)
4
7.
6!
a)
6
b)
46656
c)
720
d)
21
8.
Simplify this
a)
90
b)
2
c)
1/2
d)
none of these
9.
Simplify
9!12!
(a)
10.
Simplify
5!(6−3)!7!
(a)
11.
What does the P stand for in nPr?
a)
Partners
b)
Positions
c)
Papers
d)
Permutations
12.
7P2
a)
0
b)
7
c)
42
d)
210
13.
How many ways can you choose a manager and assistant from a 9-person task force?
a)
81
b)
18
c)
72
14.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
15.
Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.
a)
5040
b)
35
c)
28
d)
840
16.
There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?
a)
324
b)
4,896
c)
816
d)
54
17.
How many ways can you arrange 7 books on a shelf?
a)
7
b)
49
c)
343
d)
5,040
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