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Basic Counting Rules.

There are two basic counting rules which can be used to solve many different counting problems.

  1. Sum Rule : If first task can be done in n1 ways and a second task in n2 ways, and if these tasks are such that they cannot be done at the same time, then there are n1 + n2 ways to do either task.
  2. Product Rule : Whenever a procedure can be broken down into two tasks and then there are n1 ways to do the first task and n2 ways to do the next task after the first task has been done, then there are n1n2 ways to do the procedure.

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