Need to understand the usage of SemaphoreSlim

i guess that if i run 50 thread at a time then code like SemaphoreSlim ss = new SemaphoreSlim(10); will force to run 10 active thread at time

That is correct; the use of the semaphore ensures that there won't be more than 10 workers doing this work at the same time.

Calling WaitAsync on the semaphore produces a task that will be completed when that thread has been given "access" to that token. await-ing that task lets the program continue execution when it is "allowed" to do so. Having an asynchronous version, rather than calling Wait, is important both to ensure that the method stays asynchronous, rather than being synchronous, as well as deals with the fact that an async method can be executing code across several threads, due to the callbacks, and so the natural thread affinity with semaphores can be a problem.

A side note: DoPollingThenWorkAsync shouldn't have the Async postfix because it's not actually asynchronous, it's synchronous. Just call it DoPollingThenWork. It will reduce confusion for the readers.

In the kindergarden around the corner they use a SemaphoreSlim to control how many kids can play in the PE room.

They painted on the floor, outside of the room, 5 pairs of footprints.

As the kids arrive, they leave their shoes on a free pair of footprints and enter the room.

Once they are done playing they come out, collect their shoes and "release" a slot for another kid.

If a kid arrives and there are no footprints left, they go play elsewhere or just stay around for a while and check every now and then (i.e., no FIFO priorities).

When a teacher is around, she "releases" an extra row of 5 footprints on the other side of the corridor such that 5 more kids can play in the room at the same time.

It also has the same "pitfalls" of SemaphoreSlim...

If a kid finishes playing and leaves the room without collecting the shoes (does not trigger the "release") then the slot remains blocked, even though there is theoretically an empty slot. The kid usually gets told off, though.

Sometimes one or two sneaky kid hide their shoes elsewhere and enter the room, even if all footprints are already taken (i.e., the SemaphoreSlim does not "really" control how many kids are in the room).

This does not usually end well, since the overcrowding of the room tends to end in kids crying and the teacher fully closing the room.