跳到0分3秒Hello, my name’s Albert. Hello, I’m Carlo. We both are mathematicians of the University of Padua, which is a very closer to Venice. Actually, we are both Venetians. Here are some problems that we are going to consider in this MOOC. How many hands of five cards can be dealt with a deck of 52? And how many have exactly three red cards? like that one, for instance. Or very famous birthday problem, which is the probability that in the class of 24 students, the least two of them share the same birthday? and there’s another one. Then tourists lift their passport at the desk. Afterwards, the clerk gives them back randomly. What is the probability that nobody receives is on passport?
跳到0 minutes and 56 seconds您是否知道此值与Euler号码严格相关?真正的Carlo另一个问题是计算序列的毁灭。毁灭是一种订购序列元素的完整新方法。例如,例如,我们城市岛屿威尼斯的岛屿。我们将向您展示如何解决此类问题。实际上,它们都与组合学有关。也就是说,计算集合的元素数量。听起来很容易。但是通常,这种类型的计算发生错误。真正的阿尔贝托。 But after years of teaching this topic, we developed a full proof method. Yes. We translate the problem, say, in counting the number of elements of a precise mathematical structure.
跳到2分6秒And then it’s enough to apply a specific principle and it’s done. Simple! Let us start, follow us and learn how to count.