Geodesic
Computation of the Number of Score Sequences in Round-Robin Tournaments
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 133-136

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We consider round-robin tournaments of n players in which, at each encounter, the winner is awarded 1 point and the loser 0 (ties are excluded).Let 1 be the n scores, ordered in a non-decreasing sequence. Clearly 2 
Narayana, T.V.; Bent, D.H. Computation of the Number of Score Sequences in Round-Robin Tournaments. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 133-136. doi: 10.4153/CMB-1964-015-1
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     author = {Narayana, T.V. and Bent, D.H.},
     title = {Computation of the {Number} of {Score} {Sequences} in {Round-Robin} {Tournaments}},
     journal = {Canadian mathematical bulletin},
     pages = {133--136},
     year = {1964},
     volume = {7},
     number = {1},
     doi = {10.4153/CMB-1964-015-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-015-1/}
}
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