How many undirected graphs (not necessarily connected) can be constructed out…

TPSC Computer/IT Posts · 2025 · Senior Informatics Officer · Section D

How many undirected graphs (not necessarily connected) can be constructed out of a given set V = {V₁, V₂, ..., Vₙ} of n vertices?

  1. A.

    n(n − 1)/2

  2. B.

    2ⁿ

  3. C.

    n!

  4. D.

    2^(n(n − 1)/2)

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