Answer: 24
Step-by-step explanation:
The permutation of n things taken r at a time is given by :-
[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
The number of ways four people can sit next to each other in a stadium row will be given by :-
[tex]^4P_4=\dfrac{4!}{(4-4)!}[/tex]
[tex]=\dfrac{4\times3\times2\times1}{0!}\ \ \ n!=n\times (n-1)\times(n-2),...(2)(1)[/tex]
[tex]=24\ \ \ \ \text{ since}0!=1[/tex]
Hence, the number of ways can four people sit next to each other in a stadium row =24
