Q. 56 Let G be a graph with 100! vertices, with each vertex labelled by a distinct permutation of the numbers 1, 2, …, 100. There is an edge between vertices u and v if and only if the label of u can be obtained by swapping two adjacent numbers in the label of v. Let y denote the degree of a vertex in G, and z denote the number of connected components in G. Then y + 10z = _______ .
Note –This was Numerical Type question.
(A) 109
(B) 110
(C) 119
(D) None of these
Answer: (A)
Explanation: