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List of top Engineering Mathematics Questions on Combinatorics asked in AP PGECET

In a simple undirected graph, the sum of the degrees of all vertices is 20. How many edges are present in the graph?
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
Which of the following propositions is logically equivalent to $p \rightarrow q$?
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
Two graphs $G_1$ and $G_2$ are isomorphic if which of the following conditions is satisfied?
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
A graph is said to be Eulerian if it contains a closed trail that includes every:
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
If a graph G has 10 vertices and each vertex has degree 3, how many edges does G have?
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
How many different 5-character passwords can be formed using the digits 0-9 and lowercase letters a-z if the first character must be a letter and repetitions are allowed?
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
The number of ways to distribute 10 identical apples among 4 children such that every child receives at least one apple is:
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
For a connected planar graph with 10 vertices and 15 edges, how many faces does the graph have?
  • AP PGECET - 2026
  • AP PGECET
  • Engineering Mathematics
  • Combinatorics
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