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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Answer:
.
Step-by-step explanation:
We have been an division problem: .
We will simplify our division problem using rules of exponents.
Using product rule of exponents we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents we will get,
Using product rule of exponents we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent we will get,
Therefore, our resulting quotient will be .
Is there a graph or table for this question?
Answer:
2*4ⁿ
Step-by-step explanation: