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Engineering Mathematics · Combinatorics
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2017 Set 1 Q47 · NAT · 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 →The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is …
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