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To give some practice on Sample Space and Counting,please do the following problems. Please note that you willneed additional information I have posted on Sample Spacefor Question 1 and Permutations and Combinations tocomplete Questions 2 and 3: Synopsis on Probability. Thereis also a Permutations and Combination applet contained inthe Free Web Applets module: Permutation and CombinationApplet, which you can use to calculate the final answer;however, please show how the numbers would fit into theformula.â¢â¢â¢Question 1:The "Visit Europe" travel agency specializes in arrangingtrips to European cities. A customer, Judy, is interested ininformation on three cities:RomeParisLondona. Judy decides that she wants a trip, where she will visittwo of the cities. Assuming that she wants to visit each cityonly one time, what are the possible outcomes? Please listall the possible outcomes. (Please see information containedin #2 Sample Space for additional information on SampleSpace: Synopsis on Probability).b. What is the probability that she will visit Rome?Questions 2 and 3:To solve the following two questions (Questions 2 and 3):Please see information contained in #4 Permutation andCombination: Synopsis on Probability. You may use thetechnology, like the Permutation and Combination Applet tocalculate your final answers, but be sure to report theformula that is used to solve the problem, with theappropriate numbers entered into it.2. A sports enthusiast has won five trophies. How manydifferent ways can all of the trophies be arranged in a line ona table?3. A small company, with four employees, needs to form aninterview panel. How many ways can a committee of twopeople be selected from the four employees?
