There are 11,880 ways to select a chairperson, vice-chairperson, secretary, and treasurer from a group of 12 persons.
The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
We need to elect a chairperson, vice chairperson, secretary, and treasurer out of the 12 persons present. So, for a total of 12, we are choosing 4 people.
When we remove one person from these 12, we are left with 11 people. If we choose one more from the list of 11, that leaves us with 10. If we choose another person from the group of 10, that leaves nine.
12 [tex]*[/tex] 11 [tex]*[/tex]10 [tex]*[/tex] 9 = 11880
These are all the various leadership arrangements that are conceivable.
The permutation approach is another way to resolve this.
nPr = (n - r) = n!
12!/(12 - 4)! = 12!/8! = 11880 ways
So, out of a group of 12, there are 11,880 options to choose the chairman, vice-chairperson, secretary, and treasurer.
To learn more about permutations refer to:
https://brainly.com/question/1216161
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