(Counting) You want to distribute cookies among 15 baskets. There are 5 types of cookies available, and a cookie can only be distinguished by type. In how many ways can you distribute the cookies to...

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Extracted text: (Counting) You want to distribute cookies among 15 baskets. There are 5 types of cookies available, and a cookie can only be distinguished by type. In how many ways can you distribute the cookies to 15 baskets if (a) baskets look different, there is a large number of each type of cookie available, and you put at least 3 cookies and no two cookies of the same type, in each basket? (b) baskets look different, there is a large number of each type of cookie available, and you put at most 10 cookies and at most 1 type of cookie, in each basket? (c) baskets look different, there are 3 cookies of each type available, and you put exactly 1 cookie to each basket? (d) baskets look the same, there is a large number of each type of cookie available, and you put a total of 2 cookies in the baskets?