Question

In how many distinct ways can $3$ ladies and $3$ gentlemen be seated at a round table, so that exactly any two ladies sit together?

• A. $12$
• B. $24$
• C. $36$
• D. $16$

Answer 1

The correct option is A $12$

$3$ Men $3$ Ladies

Let ladies be seated first

Number of ways of seating

$=(3-1)!=2!$

$=2$ Ways

Number of place men can occupy $=3$

Number of men $=3$

Number of ways $=3!=6$ Ways

Total arrangements $=6\times 2$

$=12$ Ways