There are 30240 ways in which we can select five people from a group of ten if the order of selection is important.
Given that there are 10 total number of people.
We are required to find the number of ways in which 5 people can be selected from 10 people.
Permutations is basically the number of arrangements that can be possible with the number of things , people, etc. It is denoted as [tex]nP_{r}[/tex]=n!/(n-r)!.
We have 10 people and we have to select 5 people from them then the number of ways can be find out by [tex]10P_{5}[/tex].
We have to expand this permutation.
=10!/(10-5)!
=10!/5!
=10*9*8*7*6*5!/5!
=10*9*8*7*6
=30240 ways
Hence there are 30240 ways in which we can select five people from a group of ten if the order of selection is important.
Learn more about permutations at https://brainly.com/question/1216161
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