Question

Part 1:
Create a set and call it A. Next, create a subset of A and call it B. Draw a Venn diagram to illustrate your two sets. You may use Paint, Word, Power Point, or draw by hand and scan. Finally, find B′. To receive full credit for this problem, you must:

Clearly state A.
Clearly state B.
Cleary state B′.
Submit a copy of your Venn diagram.

Part 2:
With identity theft on the rise, it is important that online websites, especially banking and credit card sites, require longer pin numbers. Complete each part of the assessment below.

Genuine Bank’s website requires that your pin number only be two numerical digits long. So, the first number to choose is from set A below and the second number to choose is from set B below. Find the cross product A × B to determine the number of possible combinations.

A = {0, 2, 4, 6, 8}

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

Valliant Bank’s website requires that your pin number be two digits long, the first must be a v or b and the second digit must be a number from 1 to 5. Find the cross product C × D to determine the number of combinations possible.

C = {v, b}

D = {1, 2, 3, 4, 5}

Based on your answers from parts 1 & 2, what is the difference in the number of possible pin numbers between Genuine and Valliant Banks? Which bank would you be more comfortable using if you were concerned with identity theft? Why?

Answer 1

Give an example of a situation where finding the cross product of two sets is useful and explain why it is useful. Your example should include two sets and their cross product.