Permutations And Combinations Question 14

Question: 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 given by [AIEEE 2003; RPET 2003]

Options:

A) 6! × 5!

B) 30

C) 5! × 4!

D) 7! × 5!

Show Answer

Answer:

Correct Answer: A

Solution:

  • No. of ways in which 6 men can be arranged at a round table = (6 - 1)! Now women can be arranged in 6! ways. Total Number of ways = 6! × 5!