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A group of $4$ friends have been invited to a dinner party. If they each drive there separately, in how many different orders can they arrive? $\newline$ $\_\_\_\_$ orders

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Full solution

Q. A group of

4

friends have been invited to a dinner party. If they each drive there separately, in how many different orders can they arrive?

\newline

\_\_\_\_

orders

Determine Friends: Determine the number of friends. $\newline$ There are $4$ friends who are going to the dinner party.
Calculate Orders: Calculate the number of different orders in which they can arrive. $\newline$ Since the order in which they arrive matters, we use permutations to calculate the number of different orders. For $4$ friends, the number of different orders is $4!$ ( $4$ factorial).
Compute $4!$ : Compute the value of $4!$ . $4! = 4 \times 3 \times 2 \times 1 = 24$

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