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At a big sale on shoes, Isabelle picks out $5$ pairs of shoes. In how many different orders could she try them on? $\newline$ $\_\_\_$ orders

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Q. At a big sale on shoes, Isabelle picks out

5

pairs of shoes. In how many different orders could she try them on?

\newline

\_\_\_

orders

List of items: List of items: $5$ pairs of shoes. $\newline$ We need to determine the number of different orders in which Isabelle could try on these shoes. $\newline$ Since the order matters and there are no repetitions, this is a permutation problem. $\newline$ Number of orders: $5!$
Permutation problem: Calculate the value of $5!$ ( $5$ factorial). $\newline$ Number of orders = $5!$ $\newline$ = $5 \times 4 \times 3 \times 2 \times 1$ $\newline$ = $120$

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