A group of $5$ boys and $3$ girls sit at random at a round table. Find the number of arrangement

Question

A group of $5$ boys and $3$ girls sit at random at a round table. Find the number of arrangements so that no $2$ girls are adjacent to each other,[3] all $3$ girls are seated together,[3] exactly $2$ of the $3$ girls are adjacent to each other.[2]

Accepted Answer

(a) $1440$ (b) $720$ (c) $2880$

2023 RI P2 Q6

2023 RI P2 Q6

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