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In how many ways can 6 boys and 5 girls ...

In how many ways can 6 boys and 5 girls can be seated at a round table if no two girls are together?

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To solve the problem of seating 6 boys and 5 girls at a round table such that no two girls are seated next to each other, we can follow these steps: ### Step 1: Arrange the Boys Since we are dealing with a round table, we can fix one boy's position to eliminate the effect of rotations. Thus, the arrangement of the remaining boys can be calculated as follows: - The number of ways to arrange 6 boys in a circle is given by \((n-1)!\), where \(n\) is the number of boys. \[ ...
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