The principle of the
pigeonhole principle states that if you have more items than containers, at least one container must hold more than one item.
鸽巢原理指出，如果你的物品数量多于容器，至少有一个容器里会装有不止一件物品。
In a class of 30 students, where each student is assigned a unique number from 1 to 30, the
pigeonhole principle guarantees that there will be two students with the same birthday in February, assuming a non-leap year.
在一个有30名学生的班级中，如果每个学生被分配了从1到30的一个唯一数字，那么在非闰年的情况下，根据鸽巢原理，可以保证至少有两个学生的生日在二月。
If you put five balls into four boxes, by the
pigeonhole principle, at least one box must contain more than one ball.
如果你把五个球放入四个盒子里，根据鸽巢原理，至少有一个盒子里会有不止一个球。
According to the
pigeonhole principle, in a group of 7 people, there must be at least two people who were born in the same month.
根据鸽巢原理，在七个人的群体中，至少有两个人是在同一个月出生的。
The
pigeonhole principle is often used in computer science to prove the existence of certain collisions or errors in algorithms.
鸽巢原理常在计算机科学中用于证明算法中存在某些碰撞或错误。
If we have 9 distinct colors and we color 10 points on a plane, the
pigeonhole principle tells us that there will be two points of the same color that are less than 1 unit apart.
如果我们有9种不同的颜色，然后在平面上给10个点上色，鸽巢原理告诉我们，将存在两个颜色相同的点，它们之间的距离小于1个单位。
In a tournament with 8 players, the
pigeonhole principle ensures that there must be at least one player who wins against at least three others.
在有8名选手的比赛中，根据鸽巢原理，必然有一名选手至少战胜其他三人。
When learning a new language, the
pigeonhole principle can be applied to show that, among any 26-letter word list, there must be at least two words that start with the same letter.
在学习新语言时，可以应用鸽巢原理来表明，在任何包含26个字母的单词列表中，必定至少有两个单词以相同的字母开头。
The principle of the
pigeonhole principle is not only useful in mathematics but also in analyzing data sets and predicting outcomes in various fields.
鸽巢原理不仅在数学中有用，而且在分析数据集和预测各种领域结果时也很有用。
In a voting system with 5 candidates and 6 voters, the
pigeonhole principle guarantees that at least one candidate will receive more than one vote.
在有5名候选人和6位选民的投票系统中，根据鸽巢原理，至少有一名候选人会获得不止一票。
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