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WorksheetsSet Theory Review
Total questions: 11
Worksheet time: 40mins
Name
Class
Date
1.
Simplify: (n!)(n² - 3n + 2)
a)
n!
b)
(n-2)!
c)
(n-1)!
d)
n
2.
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
3.
How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?
a)
11,424,400
b)
10,967,424
c)
9000
d)
90,000
4.
Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?
a)
23
b)
840
c)
42
d)
3,628,800
5.
Solve: P(n,6)=4[P(n, 5)]
a)
4
b)
1
c)
9
d)
5
6.
How many ways can Mickey, Minnie, Goofy, Pluto, Daisy, and Donald sit in a row if Mickey and Minnie have to sit together?
a)
60
b)
720
c)
120
d)
240
7.
How many different ways you can elect a Chairman and Co-Chairman of a committee if you have 10 people to choose from
a)
90
b)
180
c)
45
d)
360
8.
There are 25 people who work in an office together. Five of these people are selected to go together to the same conference in Orlando, Florida. How many ways can they choose this team of five people to go to the conference?
a)
6,375,600
b)
26,565
c)
13,282
d)
53,130
9.
How many 7-digit phone numbers can be created if the first digit cannot be 0 or 1, the second must be a 5, and the third must be a 3 or 4?
a)
8000
b)
16,000
c)
160,000
d)
1600
10.
John bought a machine to make fresh juice. He has five different fruits: strawberries, oranges, apples, pineapples, and lemons. If he only uses two fruits, how many different juice drinks can John make?
a)
50
b)
100
c)
20
d)
10
11.
If 7 boys and 4 girls are trying out for the basketball game. How many ways can you get at least 3 boys on your team of 5?
a)
210
b)
371
c)
140
d)
21
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