Question

The number of ways in which spensasne number $1,2,3,......8$ can be seated in a ring so that $1$ always sits between $2$ and $3$ is

• A. $72$
• B. $120$
• C. $240$
• D. $360$

Answer 1

The correct option is C $240$

$1,2,3,4,5,6,7,8$ in a ring

$1$ always lies between $2$ and $3$

(Image)

No. of numbers after take $213$ group as single$=6$

No. of ways$=(6-1)!$

$=5!=120$

$2$ and $3$ can also interchange their places

$\therefore$ no. of ways $=120\times 2$

$=240$