Respuesta :
Using permutations we know that we can choose a president, vice president, and secretary out of 12 people in a total of 1320 ways.
What are permutations?
- A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order.
- The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
- An arrangement of items in a specific order is referred to as a permutation.
- Here, the components of sets are arranged in a linear or sequential order.
- For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.
So, there is a total of 12 members.
Ways in which a president, vice president, and secretary can be selected are:
nPr=n!/(n-r)!
Now, calculate further as follows:
nPr=n!/(n-r)!
12P3=12×11×10×9!/9!=12×11×10
1320 ways
Therefore, using permutations we know that we can choose a president, vice president, and secretary out of 12 people in a total of 1320 ways.
Know more about permutations here:
https://brainly.com/question/12468032
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