Mathematics Permutations and Combinations Word Problems

The number of ways in which \(5\) boys and \(3\) girls can be seated on a round table if a particular boy \(B_1\) and a particular girl \(G_1\) never sit adjacent to each other, is.

1
\(5 \times 6!\)
2
\(5 \times 7!\)
3
\(6 \times 6!\)
4
\(7!\)

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