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Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, and treasurer. In each arrangement below, the first initial of each person’s name represents that person’s position, with president listed first, vice president second, and treasurer third. Which shows the possible outcomes for the event?

a- ABC
b- ABC, BAC, CBA
c- AAA, BBB, CCC
d- ABC, ACB, BCA, BAC, CAB, CBA

Respuesta :

For E2020 Users: The answer is D

You can use the facts that there are three positions available and 3 people to sit on it.

The possible outcome is shown by

Option D: ABC, ACB, BCA, BAC, CAB, CBA

How to find in how many ways 3 person can sit on 3 seats available?

Firstly, seats are fixed at there places and its people who will shift.

Secondly, there are 3! (called 3 factorial) ways of arrangement of people. Since all arrangement can sit on those seats, thus, there are 3! = 6 ways how those people can sit.

For given condition, we have:

Case 1: A on first position:

ABC, ACB

Case 2: A on second position:

BAC, CAB

Case 3: A on third position:

BCA, CBA

Thus, all cases are explored and thus,

The possible outcome is shown by

Option D: ABC, ACB, BCA, BAC, CAB, CBA

Learn more about permutation and combinations here:

https://brainly.com/question/11958814

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