Chemistry Books How Many Ways Can 3 Novels, 2 Math Books, And 1 Chemistry Book Be Arranged On A Bookshelf?
How many ways can 3 novels, 2 math books, and 1 chemistry book be arranged on a bookshelf? - chemistry books
b) math pounds have in common and novels as well as
c) novels have together, but other books can be arranged in any order.
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1 comments:
When the mathematical books and novels must be together, then we have 3 "sets" of books and can be divided into 3! = 6 possibilities.
In each group, the books of mathematics can be organized into 2! = 2 ways, and novels in 3! = 6 possibilities. Therefore, the total number of options that can be repaired is, is 6 * 2 * 6 = 72 possibilities.
If only the novels have to cooperate, then there are 4 groups and can be arranged in 4! = 24 possibilities. The group of novels, which perhaps is not always arranged in 3! = 6 ways, so that the total number of ways, the books can be organized, which is 6 * 24 = 144 possibilities.
By the way, if none of the books should be grouped together, there are 6! = 720 ways to resolve them.
Doug
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