The number of ways in which 6 men and 5 women can dine at a found table if no two women are to sit together…

The number of ways in which 6 men and 5 women can dine at a found table if no two women are to sit together is given by
  1. $7 \times 5$
  2. $6 \times 5$
  3. 30
  4. $5 \times 4$

Solution

No.of ways in which $6 \mathrm{~mm}$ can be arranged at a round table $=(6-1)$ ! Now women can be arranged in 6 ! ways. Total number of ways $=6 ! \times 5$ !

Asked in: JEE Main 2003

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