Respuesta :
This is a combination - nCr = n!/(n-r)!r!
21!/(21-4)!4! =
21!/17!4! =
(21•20•19•18•17!)/17!•4•3•2 =
145640/24 =
5985
21!/(21-4)!4! =
21!/17!4! =
(21•20•19•18•17!)/17!•4•3•2 =
145640/24 =
5985
The 5985 different committees of 4 people can be selected from a group of 21 option second 5,985 is correct.
What is permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have a group of 21 people.
We have to choose different committees of 4 people.
The total number of combination:
= C(21, 4)
[tex]= \rm \dfrac{21!}{4!(21-4)!}[/tex]
= 5985
Thus, the 5985 different committees of 4 people can be selected from a group of 21 option second 5,985 is correct.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
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