Chapter 8-11 Quiz (Show/Explain all Work) IST 230 Chapter 8 1. Find the value for each of the following: a. 4 times 5 in Z7 b. 4 +3 in Z5 2. Find the decimal equivalent to the following numbers: a. (611)7 b. (1001001)2 Chapter 9 1. Ron wants to make sandwiches for him and his friends. He has the following choices in breads {whole wheat, multigrain, rye}. He has these types of meat choices {turkey, ham}. He has these types of choices for vegetables {lettuce, tomatoes}. Finally, he has these choices for spreads {mayo, mustard}. If each sandwich has bread, spread, meat, and vegetable, ow many possible combinations are there? 2. Simplify using the Binomial Theorem (2 a3 b)3 . Chapter 10 3. If ten friends are born from 2000-2010, are at least two of the born in the same year? 4. A company has 50 clients and seven employees assigned to them. The manager says that the most number of clients that each employee will serve is seven. Is this true? Explain your answer. Chapter 11 5. What is the probability of rolling a seven with two dice? 6. Suppose you randomly draw a single card from a standard deck. What is the probability that the card is not red, but a face card? Review 7. Tell whether the following two expressions are equivalent by constructing their truth tables in canonical form. You may make necessary adjustments to the table provided below. Is p(q r ) logically equivalent to ( p q) ( p r ) ? Chapter 8-11 Quiz (Show/Explain all Work) IST 230 8. Prove or disprove. For all integers x, if x+2 is even, then 3x+5 is odd