Question: Tony has 17 books on his shelf. There are 7 non-fiction books and 10 fiction books. He is going to pick 8 books to

Tony has 17 books on his shelf. There are 7 non-fiction books 

Tony has 17 books on his shelf. There are 7 non-fiction books and 10 fiction books. He is going to pick 8 books to read. (If necessary, consult a list of formulas.) (a) In how many ways can Tony pick 8 books if the number of fiction books must be greater than 5? 4? (b) In how many ways can Tony pick 8 books if the number of fiction books must be less than or equal to 57

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