The number of ways to choose r elements from a set of n elements is given by the Binomial Coefficient formula: n!/(r!(n-r)!) So, for example, if we have a tournament with 10 players starting, the calculation for the number of possible pairs of players that could get heads up is: 10!/(2!8!) 3628800/(2 * 40320) 3628800/80640 […]
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