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?

Answer 1

Answer:

72 ways.

Step-by-step explanation:

According to the question there are 3 men and 3 women and we have to arrange them so that exactly any two ladies sit together.

Number of ways in which any two ladies will sit together is 3C2.

Now there are 4 more members remaining so they can be arranged in 4! ways.

nCr = n! / r! * (n - r)!

Therefore total ways can 3 ladies and 3 gentlemen be seated at a round table, so that exactly any two ladies sit together = 4! * 3C2 = 24 * 3 = 72 ways.