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The cheerleading squad is holding a car wash to raise money. Already, $4$ parents have promised to come have their cars washed. In how many different orders can their cars show up? $\newline$ $\_\_\_\_\_$ orders

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Full solution

Q. The cheerleading squad is holding a car wash to raise money. Already,

4

parents have promised to come have their cars washed. In how many different orders can their cars show up?

\newline

\_\_\_\_\_

orders

Understand the problem: Understand the problem. $\newline$ We need to determine the number of different orders in which $4$ cars can arrive. This is a permutation problem where the order matters.
Calculate permutations for $4$ cars: Calculate the number of permutations for $4$ cars. $\newline$ The number of different orders for $4$ cars is given by the factorial of $4$ , which is denoted as $4!$ .
Find value of $4!$ : Find the value of $4!$ . $\newline$ Number of orders = $4!$ $\newline$ = $4 \times 3 \times 2 \times 1$ $\newline$ = $24$

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