What should be approach for the question CHAOS
asked 04 Nov '15, 14:08

N = 14 M = 2 _ X1 _ _ X2 _ _X3 _ _ here Xi denotes chaotic cities. let C denotes no of cities between particular consecutive chaotic city. The order in which cities become chaotic range from 1 to NM thus we have to find no of ways of selecting C orders out of NM = combination(NM,C); once order has been selected ,cities present on these order will permute among them self. e.g. there are 3 cities between X1 & X2 let we numbered it as 1,2 & 3. no of ways of arrangement are:(because of constraint of chaosing) 1 2 3 1 3 2 3 1 2 3 2 1 = 4 we can find for any n consecutive as: 2^(n1) //22....(no of candidate for ith position of selected order ) 2...*1 thus number of ways of order cities between Xi & Xi+1 = comb(NM,C) * 2^(C1) after set,no of available orders are :NMC do this for all cities between consecutive chaotic cities and multiply them. find no of ways of order cities(p) before 1st chaotic city as:comb(remaining orders,p) and multiply it. after multiplication you will get answer. feel free to ask any question:) answered 06 Nov '15, 21:38

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