turkey-yks 2019 Q19

turkey-yks · Other · yks-ayt Permutations & Arrangements Circular Arrangement
Six friends named Ayça, Büşra, Ceyda, Deniz, Erdem and Furkan attending a party have a table with 6 chairs around it as shown in the figure.
Ayça and Büşra, who are on bad terms, do not want to sit in chairs that are next to each other or facing each other at this table. Accordingly, in how many different ways can these six friends sit in these chairs around the table?
A) 432
B) 384
C) 360
D) 288
E) 240
Six friends named Ayça, Büşra, Ceyda, Deniz, Erdem and Furkan attending a party have a table with 6 chairs around it as shown in the figure.

Ayça and Büşra, who are on bad terms, do not want to sit in chairs that are next to each other or facing each other at this table.\\
Accordingly, in how many different ways can these six friends sit in these chairs around the table?\\
A) 432\\
B) 384\\
C) 360\\
D) 288\\
E) 240