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Counting Techniques

Counting Techniques. The Fundamental Rule of Counting (the mn Rule); Permutations; and Combinations. The Fundamental Rule of Counting.

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Counting Techniques

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  1. Counting Techniques • The Fundamental Rule of Counting (the mn Rule); • Permutations; and • Combinations

  2. The Fundamental Rule of Counting If event A can occur in mdistinct ways and event B can occur in any of ndistinct ways (regardless of how event A occurs), then event A and event B can occur in mn ways.

  3. Permutations When different arrangements count as distinct outcomes but duplication of items is not allowed, then Permutations is the counting procedure for the arrangement of items. If there are n items and each item can occur x different ways, then Number of ways = Pnx = (n!) / (n - x)!

  4. Combinations When different arrangements do not count as distinct outcomes and duplication of items is not allowed, then Combinations is the counting procedure for the arrangement of items. If there are n items and each item can occur x different ways, then Number of ways = Cnx = (n!) / x!(n - x)!

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