Answer:
Picking any one of the two books there are five shelves to put it on - which makes five ways to place it and for each of those five ways there are four shelves the other book could go such that the two books are not on the same shelf. That's four ways to place a second book for each of the five ways to place the first. That's a total of 20 ways.
Step-by-step explanation:
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There are 20 different ways of putting 2 books in 5 shelves.
'A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.'
According to the given problem,
Number of books = 2
Number of shelves = 5
Now, we can put the first book in 5 shelves in 5 different ways.
Since, one shelf is occupied now, we can put the second books in 4 shelves in 4 ways.
Therefore,
Number of ways of putting 2 books in 5 shelves = 5 × 4
= 20
Hence, we can conclude, we can put 2 books in 5 shelves in 20 different ways.
Learn more about combinations here: https://brainly.com/question/8018593
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