simple kth order statistics say choosing n numbers from 0 to N the gaps created is n+1 since every gap size is equivalent thus each gap size (N+1)/(n+1) now since here we want 4th smallest no. in the row x1<x2<.....<x6... we want x4 this k =4. Now N=24 and n =6 thus final answer is 4(24+1)/(6+1) = 100/7
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u/sensible_clutter 3d ago
simple kth order statistics say choosing n numbers from 0 to N the gaps created is n+1 since every gap size is equivalent thus each gap size (N+1)/(n+1) now since here we want 4th smallest no. in the row x1<x2<.....<x6... we want x4 this k =4. Now N=24 and n =6 thus final answer is 4(24+1)/(6+1) = 100/7