Question

The library has 28 science fiction books. Each shelf holds 5 books,

Answer 1

With Combination, There are the 98280 ways by which we place books on the shelf.

According to the statement

We have to find that the number of ways can by which place books on the shelf.

So, For this purpose, we know that the

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.

From the given information:

The library has 28 science fiction books. Each shelf holds 5 books

Then

apply the combination,

Then

C(n,r) = C(28,5)

after solving it become

C(28,5) = 28! /(5!(28-5)!)

And

C(28,5) = 28! /(5!(23)!)

Then after rearranging the terms and solving the value becomes

C(28,5) = 98280.

So, With Combination, There are the 98280 ways by which we place books on the shelf.

Learn more about Combination here

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