csat-suneung 2021 Q15

csat-suneung · South-Korea · csat__math-humanities 4 marks Permutations & Arrangements Circular Arrangement
There are 6 students including students $\mathrm { A }$, $\mathrm { B }$, and $\mathrm { C }$. These 6 students sit around a circular table at equal intervals satisfying the following conditions. How many ways are there to seat them? (Note: arrangements that coincide by rotation are considered the same.) [4 points] (가) A and B are adjacent. (나) B and C are not adjacent.
(1) 32
(2) 34
(3) 36
(4) 38
(5) 40
There are 6 students including students $\mathrm { A }$, $\mathrm { B }$, and $\mathrm { C }$. These 6 students sit around a circular table at equal intervals satisfying the following conditions. How many ways are there to seat them? (Note: arrangements that coincide by rotation are considered the same.) [4 points]\\
(가) A and B are adjacent.\\
(나) B and C are not adjacent.\\
(1) 32\\
(2) 34\\
(3) 36\\
(4) 38\\
(5) 40