aug8p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005...

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EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005 Question 3 - Week of August 8 Six digits from 2 , 3 , 4 , 5 , 6 , 7 , 8 are chosen and arranged in a row without replacement to create a 6-digit number. Find the probabilities of the following events. (a) The resulting number is divisible by 2. (b) The digits 2 and 3 appear consecutively in order (i.e., 23 appears in the number). (c) The digits 2 and 3 appear in order but not consecutively (i.e. 2 before 3, but at least one other number between them). The solution can be found below.
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