CHEN 3010Applied Data AnalysisFall 2004Homework #1due at the beginning of class on Thursday, Sept. 2nd1.The number of different combinations that robjects can be selected from a pool of ndistinct objects is given by the formulanrCnrnr=−!!()!Here, n! stands for “n factorial” and represents the product nnn⋅−⋅−⋅⋅⋅⋅() ()122 1For example, if 5 students are selected from your lab section of 20 students, the number ofways of doing that is2051815205 2052 432910120 1 307671015504C=−=×⋅×=!!()!..Compute this result on an Excel spreadsheet using the FACT(•) function for factorialcomputation. Compare your result to that by using the COMBIN(•) function.In the Colorado Lotto game, 6 balls are drawn at random from 42 balls. The balls arenumbered 1 through 42. How many ways can the 6 balls be selected? If you buy two Lottotickets ($1 each) for one drawing, what then are your odds of winning the big prize?2.Problem 2-4Solve this problem by hand using your calculator. If your calculator has built-in capability for
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