{ "id": "1006.2193", "version": "v2", "published": "2010-06-11T03:59:24.000Z", "updated": "2011-01-31T05:27:57.000Z", "title": "Counting subspaces of a finite vector space", "authors": [ "Amritanshu Prasad" ], "comment": "15 pages, 3 figures, corrected version", "journal": "Resonance, vol. 15; no. 11, pages 977-987 and no. 12, pages 1074-1083, 2010", "categories": [ "math.CO" ], "abstract": "In this expository article, we discuss the relation between the Gaussian binomial and multinomial coefficients and ordinary binomial and multinomial coefficients from a combinatorial viewpoint, based on expositions by Butler, Knuth and Stanley.", "revisions": [ { "version": "v2", "updated": "2011-01-31T05:27:57.000Z" } ], "analyses": { "subjects": [ "05A10", "05A30" ], "keywords": [ "finite vector space", "counting subspaces", "multinomial coefficients", "gaussian binomial", "expository article" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1006.2193P" } } }