EXAM II REVIEW1. For this problem, let }10,9,8,7,6,5,4,3,2,1,0{U, }9,8,6,3,1{A, }8,6,4,2,0{B, and }7,5,3,2{C. Find the following: a. CA b. CB c.'A d. BA 'e. )''( CB f. )''( AA 2. Standard automobile license plates in California display a nonzero digit, followed by three letters, followed by three digits. How many different standard plates are possible in this system?3. A restaurant offers six different main courses, eight types of drinks, three kinds of desserts. How many different meals consisting of main course, a drink, and a dessert does the restaurant offer?4. In how many ways can a president, vice-president, secretary, and treasurer be chosen from a class of 30 students?5. A hamburger chain gives their customers a choice of ten different hamburger toppings. In how many different ways can a customer order a hamburger?6. A group of 22 aspiring thespians contains ten men and twelve women. For the next play the director wants to choose a leading man, a leading lady, a supporting male role, a supporting female role, and eight extras – three women, and five men. In how many ways can the cast be chosen?7. Compute the following:a. !7!4 b. !980!982c. 35Cd. 410P 8. Find the number of distinguishable permutations of the word ATLANTA. 9. Find the number of lottery tickets in the following lotteries; a. 5/40 b. 6/48 c. 7/52 10. Determine the mumber of different hands in: a. 5-card draw poker b. 7-card stud poker c. 8-card pinochle(48 card deck) d. 3-card sweep (40 card deck) 11. If ,300)( un,85)( An 120)( Bnand 175)( BAn then what is a. )( BAn b. )''( BAn c. )( BAn 12. The ESPN survey of 2500 viewers recorded the following information: 1321 viewers watched the Super Bowl Half-time show 745 viewers logged onto the internet 68 viewers did not watch the Super Bowl Half-time show but logged onto the interneta. Label the Venn diagram correctly and find the values of w, x, y, z. Let A = watched half-time, B = logged onto internetb. How many viewers watched the SB half-time show and logged onto the internetc. How many viewers watched the SB half-time show and did not logonto the
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