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  3. The tennis club is about to hold a tennis tourment among its members. There are 8 people signed up. If each player is going to p

The tennis club is about to hold a tennis tourment among its members. There are 8 people signed up. If each player is going to p

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问题 The tennis club is about to hold a tennis tourment among its members. There are 8 people signed up. If each player is going to play once against all the other players, how many matches there will be in this tourment?
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答案28
解析 这道题本质上也是“握手问题”，可以利用上述方法求解。例如，从“参加比赛的人”的角度上看，每个选手都要和其他7个选手比赛1次，需比7次；一共有8位选手，因此共比8×7=56次。上述方法导致A与B的比赛和B与A的比赛被重复计算，因此应将上述结果除以2，即共需要举办56/2=28场。
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