Answer: D) 7!;5,040
Step-by-step explanation:
Given: The number of friends = 7
Permutations says that the number of different ways of arranging r objects out of n objects is given by ;-
[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
By permutations the number of different ways they can sit is given by :-
[tex]^7P_7=\dfrac{7!}{(7-7)!}=\dfrac{7!}{0!}\\\\=7\times6\times5\times4times3\times2\times1\\\\=5,040[/tex]
Therefore, the different ways can you and six of your friends sit in your assigned seats in math class = 5,040.
