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Greenpoint City Diner is introducing a new dessert menu, which includes $5$ different desserts. In how many different orders could the desserts be listed on the menu? $\newline$ _____ orders

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Q. Greenpoint City Diner is introducing a new dessert menu, which includes

5

different desserts. In how many different orders could the desserts be listed on the menu?

\newline

_____ orders

List of desserts: List of items: $5$ different desserts. $\newline$ We need to determine the number of different orders in which these desserts can be listed on the menu. $\newline$ Since the order matters and there are no repetitions, this is a permutation problem. $\newline$ Number of orders: $5!$
Permutation calculation: Calculate the value of $5!$ .
Number of orders = $5!$
= $5 \times 4 \times 3 \times 2 \times 1$
= $120$

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