MHB How Many Possible Cards Can Be Made with Sasha, Pasha, and Masha?

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The discussion focuses on calculating the number of possible cards that can be created using the names Sasha, Pasha, and Masha. Three specific cases are identified for consideration: cards featuring both Sasha and Pasha, cards with Sasha and Masha, and cards that include Pasha and Masha. Each case represents a unique combination of the names. The participants emphasize the importance of clearly defining the criteria for counting these combinations. Understanding these cases is crucial for accurately determining the total number of possible cards.
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What exactly don't you understand?

To count the number of possible cards I would consider three cases depending on the names on the card: Sasha and Pasha, Sasha and Masha and finally Pasha and Masha.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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