University of VictoriaMATH 352Ass2solns

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University of VictoriaMATH 352Ass2solns 1

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University of Victoria MATH 352 Ass 2 solns

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MATH 352 Assignment #2 Solutions 1. Use the Principle of Inclusion/Exclusion to solve each of the following problems: (a) Find the probability that a permutation of a1, a1, a2, a2, . . . , an, an will have no identical symbols consecutive. The first and last positions are not considered to be consecutive. Solution: Let Ai be the event that the two ai are consecutive. The desired probability is the probability that none of the events occur, ie. 1 - P ( n[ k =1 Ai) = 1 - nX k =1 (-1)k-...

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University of VictoriaMATH 352Ass2solns • University of VictoriaMATH 352Ass2solns