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Engineering Mathematics · Combinatorics
Official IIT answer key · IIT Delhi · Audited Aug 2026
GATE CSE 2012 Q38 · MCQ · 2 marks
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Topic notes
GATE evaluates Generating Functions by testing the candidate's ability to find closed-form representations of ordinary generating functions (OGFs) for piecewise or parity-dependent sequences. Questions require decomposing sequences linearly and applying operations like substitution (e.g., x2) and differentiation to handle polynomial coefficients. These items test analytical fluency with infinite series and discrete mathematics manipulations.
Full Combinatorics guide →Let G be a complete undirected graph on 6 vertices. If vertices of G are labeled, then the number of distinct cycles of length 4 in G is equal to
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