Set Theory

Use the following information:

At a party, ten sodas were served:

Coke, Pepsi, Mountain Dew, Sprite, Sunkist, Cactus Cooler, Diet Coke, 7Up, Dr.Pepper, Root Beer

Out of all of those sodas sodas , here are two sets: A and B

= { , , 7}

= { , 7, , }

For Problems 1-2, find the following

1a)

1b) B

2) c

3) Fifty people were surveyed. They overwhelmingly drank the most popular brands at the party: Coke, Pepsi, and 7Up. The following table shows the results

27 drank Coke 10 drank both Coke and 7Up

22 drank Pepsi 7 drank both Pepsi and 7Up

20 drank 7Up 3 drank all three

8 drank both Coke and Pepsi 3 drank something else

Use the information to draw a Venn Diagram.

Number Theory

4) Prime Factorization for a HUGE number: 2,286,144

5) Verify that the following HUGE number is divisible by 7 using the method covered in lecture 507,835,151,222

6) Verify that the following HUGE number is divisible by 9 using the method covered in lecture (NOTE: In lecture I mentioned 'continuously') 88,493,892,838,533

Numeration 7) Add 3142 5 + 4121 5 8) Add 5143 6 + 4534 6

Algebraic Systems 9) Multiply on a Clock: 8 7 10) Compute 3 6 5