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How does object pooling and connection pooling differ?

In Object pooling, you can control the number of connections.

In connection pooling, you can control the maximum number reached.

When using connection pooling, if there is nothing in the pool, a connection is created since the creation is on the same thread.

In object pooling, the pool decides the creation of an object depending on whether the maximum is reached which in case if it is, the next available object is returned. However, this could increase the time complexity if the object is heavy.