Q. The number of ways in which 6 men and 5 women can dine at a round table, if no two women are to sit together, is
A) $6! \times 5!$
B) 30
C) $5! \times 4!$
D) $7! \times 5!$
Explanation
(a)
First we fix the position of 6 men, the number of ways to sit men$= 5!$ and the number of ways to sit women$\ ^{6}P_{5}$
$\therefore$ Total number of ways $= 5!{\ ^{6}P}_{5} = 5! \times 6!$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.