# Question and select which formula Answer A cafeteria offers ten different soups, eight entrees and six desserts. In 1. how many ways can a customer choose a soup, an entree, and a dessert? Work: How many different three letter strings can you make with the letters in 2. the word CRAZY? Work: How many ways would there be for a person to randomly select five 3 students from a class of twenty to give a $20, $100, $200, $1000, and ' $10,000 prize? Counting principle Combination Permutation Work: How many different groups of five students can be selected from a class of 4. twenty? Counting principle Combination Permutation Work: A snowplow operator's route includes 18 streets. They estimate that 5 during their shift they can clear 12 of them. How many different outcomes ' are possible by the end oftheir shift? Counting principle Combination Permutation Work: A store sells 25 different fruits to place in a smoothie. How many different 6. smoothies can you buy if you want three di 'ferent fruits only? Counting principle Combination Permutation Work: A hockey team has 1? players. From this team, six players are caosen to 7 attend a hockey school. Two of the players play goaltender only. In how ' many ways can the six be selected if exactly one goalie must attend? Counting principle Combination Permutation Work: Part 3: Probability (1 mark each) The letters of the alphabet are placed in a hat and one is drawn. What is the probability that it is: 9' Express your answer as a percentage rounded to 1 decimal place. (Vowels do not include y). a) Vowel: b) Letter 2 or a vowel: c} Not a vowel: Three horses (Secretariat, Trigger and Zorro) are in a race. Secretariat is twice as likely to win as 10. Trigger and Trigger is twice as likely to win as Zorro. Answer the questions below showing your work. Show your answer as fraction and percentage rounding to 1 decima place. Work: a) What is the probability of Secretariat winning? Fraction: Percentage: b) What is the probability of Trigger winning? Fraction: Percentage: c) What is the probability of Zorro winning? Fraction: Percentage: d) What is the probability that Trigger or Zorro wins? Fraction: Percentage: e) What is the probability that none ofthe horses win? Fraction: Percentage: 11. The following numbers represent one class of students who were taking_psycho|ogy at university. Passed with high honors 24 Passed with honors 27 Passed 26 Failed 15 Dropped Out 8 Answer the questions showing the fractions and percentage rounded to 1 decimal place. All questions are related to this class only. Work: a) What is the probability of failing or dropping out? Fraction: Percentage: b) What is the probability of passing? Fraction: Percentage: c) What is the probability of passing with an honors Fraction: Percentage: designation? d) What is the probability of not getting honors? Fraction: Percentage: e) What is the probability of falling into one of the above Fraction: Percentage: categories? Last Question A slot machine manufacturer has thirty machines for sale (nineteen are multipliers and the rest are 12. single-coin machines). A casino is buying seventeen new slot machines. They want ten that are multipliers and the rest single-coin. (1 mark each) Counting principle _ Combination O Permutation Work: a) In how many ways can the multipliers be selected? b) In how many ways can the single-coin be selected? c) In how many ways can all 17 new machines be selected? d) The casino has 20 different locations to place the seventeen new machines. In how many ways can the machines be placed? (2 marks) Counting principle O Combination Permutation Work