Number of ways, in which 6 men and 5 women can sit at a round table, if no two women sit together, are

Number of ways, in which 6 men and 5 women can sit at a round table, if no two women sit together, are
  1. $5 ! \times 4 !$
  2. $6 ! \times 5 !$
  3. $30$
  4. $7 ! \times 5 !$

Solution

6 men can be seated around a round table in 5! ways Now, 5 women can be seated in 6 places in 6 ! ways Hence total number of ways is $6 ! \times 5$ !

Asked in: MHT CET 2022 (10 Aug Shift 1)

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