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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?
ABC,
ABC, BAC, CBA
AAA, BBB, CCC
ABC, ACB, BCA, BAC, CAB, CBA

Respuesta :

patrickcreeper1000

Answer:

The answer is D.

Step-by-step explanation:

I got it right on the test.

Using the arrangements formula, it is found that the 6 possible outcomes for the event are given as follows:

ABC, ACB, BCA, BAC, CAB, CBA.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, there are three students, hence the number of outcomes in given by:

[tex]A_3 = 3! = 6[/tex]

And the outcomes are as follows:

ABC, ACB, BCA, BAC, CAB, CBA.

More can be learned about the arrangements formula at https://brainly.com/question/25925367

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