Question

In the student council elections, five students are running for president, two are running for vice president, two are running for treasurer and three are running for secretary. How many different possible student council teams could be elected from these students?
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Answer 1

Using the Fundamental Counting Theorem, it is found that 60 different possible student council teams could be elected from these students.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

Considering the number of options for president, vice president, treasurer and secretary the parameters are:

n1 = 5, n2 = 2, n3 = 2, n4 = 3.

Hence the number of different teams is:

N = 5 x 2 x 2 x 3 = 60.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

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