HW #3 1. An electrical panel has five switches. How many ways can the switches be positioned up or down if three switches must be up and two must be down? A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted? 2. A crate of toy cars contains 10 working cars and 4 defective cars. How many ways can 5 cars be selected if only 3 work? 3. 4. One hundred twelve people bought raffle tickets to enter a random drawing for three prizes. How many ways can three names be drawn

HW #3 1. An electrical panel has five switches. How many ways can the switches be positioned up or down if three switches must be up and two must be down? A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted? 2. A crate of toy cars contains 10 working cars and 4 defective cars. How many ways can 5 cars be selected if only 3 work? 3. 4. One hundred twelve people bought raffle tickets to enter a random drawing for three prizes. How many ways can three names be drawn for first prize, second prize, and third prize? 5 There are 25 people who work in an office together. Five of these people are selected to attend five different conferences. The first person selected will go to a conference in Hawaii, the second will go to New York, the third will go to San Diego, the fourth will go to Atlanta, and the fifth will go to Nashville. How many such selections are possible? 6. John bought a machine to make fresh juice. He has five different fruits: strawberries oranges, apples, pineapples, and lemons. If he only uses two fruits, how many different uice drinks can John make? 7. There are 10 boys and 13 girls in Mr. Benson's fourth-grade class. A picnic committee of five students is selected at random from the students in the class. a. How many ways are there to select a committee with only boys? b. How many ways are there to select a committee with five students? c. What is the probability that all the committee members are boys? d. What is the probability that the committee has three girls and two boys? e. What is the probability that the committee has at most 3 boys in the committee? 8. Textbook Page #236 question # 441 9. Textbook Page #238 question # 4.5.3

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