How many ways are there to place a set of chess pieces on the first row of chessboard when the set contains 1 king, 1 queen, 2 identical rooks, 2 identical bishops and 2 identical knights. With the following rules:
- The bishops are placed on different colored squares
- The king and queen are adjacent
- There is a rook on either side of the king (not necessarily adjacent)
So far i've come up with 700 but i'm not sure if that answer is correct, would love to know what you guys think