Permutations and Combinations


Experiment with permutations and combinations of a number of letters represented by letter tiles selected at random from a box. Count the permutations and combinations using a dynamic tree diagram, a dynamic list of permutations, and a dynamic computation by the counting principle.

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Assessment Questions (4):

  1. The expression 3C2 represents the number of ways of:
  2. Simplify the expression 6C5.
  3. How many 2-letter combinations exist in the organized list of 2-letter permutations shown below?

  4. If n > 1 and r > 1, what will be the relationship between the number of combinations, nCr, and the number of permutations, nPr?

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