Homework01 - CHEN 3010 Applied Data Analysis Fall 2004...

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CHEN 3010 Applied Data Analysis Fall 2004 Homework #1 due at the beginning of class on Thursday, Sept. 2 nd 1. The number of different combinations that r objects can be selected from a pool of n distinct objects is given by the formula nr C n rn r = ! !( )! Here, n! stands for “n factorial” and represents the product nn n ⋅−⋅−⋅ () ( ) 12 2 1 For example, if 5 students are selected from your lab section of 20 students, the number of ways of doing that is 20 5 18 15 20 52 0 5 2 4329 10 120 1 30767 10 15504 C = = × × = ! !( )! . . Compute this result on an Excel spreadsheet using the FACT(•) function for factorial computation. 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 are numbered 1 through 42. How many ways can the 6 balls be selected? If you buy two Lotto tickets ($1 each) for one drawing, what then are your odds of winning the big prize? 2. Problem 2-4 Solve this problem by hand using your calculator. If your calculator has built-in capability for
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This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

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