Beginner Exercise 60 / Solution

Solution 1  

The clamp at is a tesuji for expanding eye space. If at , Black can connect at and the result is still the same.

Solution 2 (6 at 1)  

Black can also make a cut at . To save the three stones White has to play at . Subsequently and are a tesuji combination, and Black lives with .

Caution: Do not play at : White can connect at and Black cannot make the eye on the top.

Toey: Regarding solution 2, what will happen if White instead plays at ? Can Black still make two eyes on top?

unkx80: Yes, by capturing three white stones.

White makes trouble  

But suppose White pushes up with first? That's suicidal -- Black just captures all the stones with a series of atari moves.. (I put this in for reference; I thought White could escape, until I made up the diagram. -- Scartol)

Failure  

does not expand his eye space enough.