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An ice cream parlor has a handwritten sign listing the flavors available each day. If there are $5$ flavors available today, in how many different orders can they be listed? $\newline$ $\_\_\_\_$ orders

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Q. An ice cream parlor has a handwritten sign listing the flavors available each day. If there are

5

flavors available today, in how many different orders can they be listed?

\newline

\_\_\_\_

orders

List of items: List of items: $5$ different ice cream flavors. $\newline$ We need to determine the number of different orders in which these flavors can be listed. $\newline$ Since the order matters and each flavor is unique, this is a permutation problem. $\newline$ Number of orders: $5!$
Permutation calculation: Find 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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