Q. The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together, is
A) $8!$
B) $4!$
C) $8!4!$
D) $7!\ ^{8}P_{4}$
Explanation
(d)
The number of ways of arranging 8 men$= 7!$
The number of ways of arranging 4 women such that no two women can sit together$= {\ ^{8}P}_{4}$
$\therefore$ Required number of ways$= {7!\ }^{8}P_{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.