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Write the number of ways in which 6 men ...

Write the number of ways in which 6 men and 5 women can dine at a round table if no tow women sit together.

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To solve the problem of arranging 6 men and 5 women at a round table such that no two women sit together, we can follow these steps: ### Step 1: Arrange the Men Since we are dealing with a round table, we can fix one man in position to eliminate the circular permutations. This means we only need to arrange the remaining 5 men around the table. - The number of ways to arrange 6 men in a round table is given by (n-1)!, where n is the number of men. - Therefore, the arrangement of 6 men is: \[ ...
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