1. 11C2=D (Simplify your answer. Type an integer or a fraction.)
2. Evaluate the expression. 9 p2 The solution is D.
3. Is the selection below a permutation, a combination, or neither? A president appoints 4 people to be the new president, vice-president, secretary, and treasurer. Choose the conect answer below. ()A. The selection is neither a permutation or a combination. ()B. The selection is a combination. ()C. The selection is a permutation.
4. Is the selection a permutation, a combination, or neither? A group of 3 senators is chosen to be part of a special committee. Choose the conect answer below. ()A. The selection is a permutation. 0B. The selection is a combination. ()C. The selection is neither a permutation or a combination.
5. In a horse race, how many different finishes among the first 3 places are possible if 10 horses are running? (Exclude ties) There are a possible D different finishes.
6. (A) How many ways can a 3-person subcommittee be selected from a committee of 9 people? (B) How many ways can a president, vice-president, and secretary be chosen from a committee of 9 people? (A) The number of ways to select a 3-person subcommittee is D. (B) The number of ways to choose a president, vice-president, and secretary is D.
7. From a standard 52-card deck, how many 6-card hands consist entirely of black cards? There are D possible hands.
8. From a standard 52-card deck, how many 7-card hands contain all hearts? A hand of 7 hearts can be chosen in D ways.
9. A catering service offers 9 appetizers, 12 main courses, and 7 desserts. A banquet committee is to select 4 appetizers, 9 main courses, and 4 desserts. How many ways can this be done? There are D possible ways this can be done.
10. How many ways can 2 people sit in a row of 6 chairs? The number of ways 2 people can sit in a row of 6 chairs is D.
11. An electronics store receives a shipment of 20 graphing calculators, 8 that are defective. Four of the calculators are selected to be sent to a local high school. (A) How many selections can be made? (B) How many of these selections will contain no defective calculators? (A) D selections can be made. (B) D selections will contain no defective calculators.
12. A group of 110people touring Europe includes 52 people who speak Greek, 69 who speak Polish, and 12 who speak neither language. How many people in the group speak both Greek and Polish? 23 people in the group speak both Greek and Polish.
13. Management selection. A corporation plans to fill 2 different positions for vice-president, V 1 and V 2 , from administrative officers in 2 of its manufacturing plants. Plant A has 5 officers and plant B has 7. a. How many ways can these 2 positions be filled if the V 1 position is to be filled from plant A and the V 2 position from plant B? 35 b. How many ways can the 2 positions be filled if the selection is made without regard to plant? 132'1 YOU ANSWERED: 196
A survey of 1200 people in a certain city indicates that 860 own microwave ovens, 740 own DVD players, and 590 own microwave ovens and DVD players. (A) How many people in the survey own either a microwave oven or a DVD player? (B) How many own neither a microwave oven nor a DVD player? (C) How many own a microwave oven and do not own a DVD player? (A) D people in the survey own either a microwave oven or a DVD player. (B) D people in the survey own neither a microwave oven nor a DVD player. (C) D people in the survey own a microwave oven and do not own a DVD player.
15. A cable television company has 8000 subscribers in a suburban community. The company offers two premium channels, A and B. If2500subscribers receive channel A, 1900 receive channel B, and 5140 do not receive any premium channel, how many subscribers receive both channel A and channel B?0 subscribers receive both channel A and channel B.
16. Politics. If 13,135 people voted for a politician in his first election, 15,030 voted for him in his second election, and 7,119 voted for him in the first and second elections, how many people voted for this politician in the first or second election?
