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Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?
Answer:

Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line? $\newline$ Answer:

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Counting principle

Full solution

Q. Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?

\newline

Answer:

Identify the Problem: Identify the problem. $\newline$ We need to find the number of different ways three students can stand in line. This is a permutation problem where order matters.
Determine Permutations: Determine the number of permutations. $\newline$ For the first position in line, there are $3$ choices (Camila, Josiah, or Kennedy). Once the first person is chosen, there are $2$ remaining choices for the second position. Finally, there is only $1$ choice left for the third position.
Calculate Permutations: Calculate the number of permutations. $\newline$ The number of different ways they can stand in line is $3$ (choices for the first position) $\times$ $2$ (choices for the second position) $\times$ $1$ (choice for the third position). $\newline$ $3 \times 2 \times 1 = 6$

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