Maybe they're queens from other countries helping the king, so therefore no bigamy?
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This:
https://en.wikipedia.org/wiki/Promotion_%28chess%29
gives some statistics on promotion. Back in 2006, Chessbase had 3 200 000 games.
Their statistics is presented as:
1,5 % games included a promotion - i. e. about 48 000
1,8 % of these were knight underpromotions - i. e. about 860
1,1 % of promotions were rook underpromotions - i. e. about 530
0,2 % of promotions were bishop underpromotions - i. e. about 100.
But about the missing statistics...
Roughly how many queen promotions were bigamous, involving two queens on the same side?
How many underpromotions to knight, rook or bishop included a player having three pieces of the same type?