This is a discrete math problem: 6.2 (5.2) A company stores products in a wareho

Question

This is a discrete math problem:

6.2 (5.2) A company stores products in a warehouse. Bins are specified by aisle, location in aisle and shelf There are 2 aisles, 3 shelves per aisle and 4 locations per shelf. a) Objects come into the warehouse and are thrown randomly into a location. What is the least number of products needed to guarantee that at least 3 products are stored in the same location? b) Given that the company has 1,000 products find the smallest value of n such that every location has either n or n+1 items. 6.3 (5.3) You have 15 novels, 10 history books and 5 math books. Assume that all 30 books are different. a) How many ways can you loan three history books and seven novels to a friend? books are b) How m in the middle and the history books are on the right? any ways can you put the 30 books in a row on a shelf if the novels are on the left, the math

Explanation / Answer

6.3(5.3) Solution :

a) No of ways to loan 3 history books and 7 Novels to friend= C(10,3) * C(15,7) = 120 * 6435 = 772200 ways

b) No of ways to put 30 books in a row if novels on left, math books in middle and history books on right = 15! * 5! * 10!

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