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The term Counting in Computer Science is usually used to refer to counting objects in certain arrangements or with certain properties.

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Count number of ways in which atomic operation(s) of n different processes can be interleaved

Counting: (Note that the numbers below (like 1 2 3) denote the empty position number.) > Case1: When all three operations of P2 are placed in consecutive empty positions. 1 2 3 2 3 4 3 4 5 … As you can see, counting like this is cumbersome and error prone. I have missed cases. How can this counting problem be generalised? Please see the problem statement at the top of the question. …