seabreazebeadz seabreazebeadz

14-04-2022
Mathematics

contestada

Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be
arranged on the shelf?

Respuesta :

MrRoyal MrRoyal

20-04-2022

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

How to determine the number of arrangements?

The given parameters are:

Total books, n = 10
Books to arrange, r = 4

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

https://brainly.com/question/12468032

Answer Link

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