Question: A salesman has to visit 10 different cities. In how many different ways can the ordering of the visits be made? If he decides that

A salesman has to visit 10 different cities. In how many different ways can the ordering of the visits be made? If he decides that 5 of the visits will be made one week, and the other 5 visits will be made the following week, in how many different ways can the 10 cities be split into two groups of 5 cities?

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