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a. If there are 4 Czech tennis players, 4 U.S. players, and 3 Russian players at the U.S. Open Tennis Championship, how many ways could

a. If there are 4 Czech tennis players, 4 U.S. players, and 3 Russian players at the U.S. Open Tennis Championship, how many ways could they be arranged?

b. A bag contains 5 different science books, 4 different history books, and 3 different mathematics books. If 5 books are selected at random from the bag, find the probability that they contain i. Exactly 2 science books ii. 2 science books, 2 history books and 1 mathematics book.

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