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Category sorting mathematics
First, turn five books into four and distribute them to four people.

Step 1: Take two of the five books and bind them into one book. There is a C52(5 subscript) method.

Step 2: Distribute four books to four students. There are 44 ways. According to the principle of multiplication, * * has a method of C52*A44=240.

Extended data:

Difficulties in permutation and combination:

1. Abstracting several concrete mathematical models from different practical problems requires strong abstract thinking ability;

2. Restrictive conditions are sometimes obscure, which requires us to accurately understand the key words in the question (especially logical related words and quantifiers);

3. The calculation method is simple and has little connection with the old knowledge, but it needs a lot of thinking when choosing the correct and reasonable calculation scheme;

4, the calculation scheme is correct, often can't use intuitive method to test, requires us to understand the concept, principle, and have strong analytical ability.