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# Set Theory Worksheet

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```									Name_______________________________                                             Date__________

Worksheet 9 ½

Universal set U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

1. If A = { 1, 2, 3, 4, 5 } and B = { 4, 5, 6, 7, 8 } find the following.
a. A ∩ B

b. A ∪ B

c. A’

d. B’

2. Use Venn Diagrams to pictorially express the results of #1 a – d.

Dressler
Set Theory                                   1 of 2
Name_______________________________                                   Date__________

3. For sets X = { a, b, c } and Y = { 1, 2 }find X × Y

4. How many five character passwords can be made using any of the characters
1 – 9 and a – z, a total of 36 possible characters.

5. The username of a child’s video game can be one character or two characters, if
the possible characters are digits 1 – 9 and the alphabet, how many usernames can
be created?

Dressler
Set Theory                              2 of 2

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